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Finding the Fourth Proportional to 361,600.72, 542,502.64 and 133,892.96

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Solution

The fourth proportional to 361,600.72, 542,502.64 and 133,892.96 is: 200,877.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,600.72 : 542,502.64 = 133,892.96 : x
  2. Step 2: Convert to fraction form
    361,600.72/542,502.64 = 133,892.96/x
  3. Step 3: Cross multiply
    361,600.72x = 542,502.64 × 133,892.96
  4. Step 4: Simplify right side
    361,600.72x = 72,637,284,277.41
  5. Step 5: Solve for x
    x = 72,637,284,277.41/361,600.72
  6. Step 6: Final answer
    x = 200,877.05

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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.