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Finding the Fourth Proportional to 257,669.52, 386,614.45 and 133,098

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Solution

The fourth proportional to 257,669.52, 386,614.45 and 133,098 is: 199,703.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,669.52 : 386,614.45 = 133,098 : x
  2. Step 2: Convert to fraction form
    257,669.52/386,614.45 = 133,098/x
  3. Step 3: Cross multiply
    257,669.52x = 386,614.45 × 133,098
  4. Step 4: Simplify right side
    257,669.52x = 51,457,610,066.10
  5. Step 5: Solve for x
    x = 51,457,610,066.10/257,669.52
  6. Step 6: Final answer
    x = 199,703.91

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