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Finding the Fourth Proportional to 254,192.50, 381,288.75 and 87,980.50

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Solution

The fourth proportional to 254,192.50, 381,288.75 and 87,980.50 is: 131,970.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,192.50 : 381,288.75 = 87,980.50 : x
  2. Step 2: Convert to fraction form
    254,192.50/381,288.75 = 87,980.50/x
  3. Step 3: Cross multiply
    254,192.50x = 381,288.75 × 87,980.50
  4. Step 4: Simplify right side
    254,192.50x = 33,545,974,869.38
  5. Step 5: Solve for x
    x = 33,545,974,869.38/254,192.50
  6. Step 6: Final answer
    x = 131,970.75

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.