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Finding the Fourth Proportional to 140,224.50, 210,336.75 and 41,728.50

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Solution

The fourth proportional to 140,224.50, 210,336.75 and 41,728.50 is: 62,592.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,224.50 : 210,336.75 = 41,728.50 : x
  2. Step 2: Convert to fraction form
    140,224.50/210,336.75 = 41,728.50/x
  3. Step 3: Cross multiply
    140,224.50x = 210,336.75 × 41,728.50
  4. Step 4: Simplify right side
    140,224.50x = 8,777,037,072.38
  5. Step 5: Solve for x
    x = 8,777,037,072.38/140,224.50
  6. Step 6: Final answer
    x = 62,592.75

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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.