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Finding the Fourth Proportional to 261,627.20, 392,037.60 and 194,753.60

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Solution

The fourth proportional to 261,627.20, 392,037.60 and 194,753.60 is: 291,830.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,627.20 : 392,037.60 = 194,753.60 : x
  2. Step 2: Convert to fraction form
    261,627.20/392,037.60 = 194,753.60/x
  3. Step 3: Cross multiply
    261,627.20x = 392,037.60 × 194,753.60
  4. Step 4: Simplify right side
    261,627.20x = 76,350,733,935.36
  5. Step 5: Solve for x
    x = 76,350,733,935.36/261,627.20
  6. Step 6: Final answer
    x = 291,830.26

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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.