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Finding the Fourth Proportional to 133,720.92, 200,594.16 and 37,657.89

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Solution

The fourth proportional to 133,720.92, 200,594.16 and 37,657.89 is: 56,490.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,720.92 : 200,594.16 = 37,657.89 : x
  2. Step 2: Convert to fraction form
    133,720.92/200,594.16 = 37,657.89/x
  3. Step 3: Cross multiply
    133,720.92x = 200,594.16 × 37,657.89
  4. Step 4: Simplify right side
    133,720.92x = 7,553,952,811.92
  5. Step 5: Solve for x
    x = 7,553,952,811.92/133,720.92
  6. Step 6: Final answer
    x = 56,490.43

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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.