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Finding the Fourth Proportional to 181,842, 272,772.72 and 57,192.72

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Solution

The fourth proportional to 181,842, 272,772.72 and 57,192.72 is: 85,792.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,842 : 272,772.72 = 57,192.72 : x
  2. Step 2: Convert to fraction form
    181,842/272,772.72 = 57,192.72/x
  3. Step 3: Cross multiply
    181,842x = 272,772.72 × 57,192.72
  4. Step 4: Simplify right side
    181,842x = 15,600,613,798.60
  5. Step 5: Solve for x
    x = 15,600,613,798.60/181,842
  6. Step 6: Final answer
    x = 85,792.14

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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.