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Finding the Fourth Proportional to 254,895.60, 382,246.20 and 77,343.60

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Solution

The fourth proportional to 254,895.60, 382,246.20 and 77,343.60 is: 115,985.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,895.60 : 382,246.20 = 77,343.60 : x
  2. Step 2: Convert to fraction form
    254,895.60/382,246.20 = 77,343.60/x
  3. Step 3: Cross multiply
    254,895.60x = 382,246.20 × 77,343.60
  4. Step 4: Simplify right side
    254,895.60x = 29,564,297,194.32
  5. Step 5: Solve for x
    x = 29,564,297,194.32/254,895.60
  6. Step 6: Final answer
    x = 115,985.91

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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.