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Finding the Fourth Proportional to 207,032.34, 310,614.10 and 73,909.64

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Solution

The fourth proportional to 207,032.34, 310,614.10 and 73,909.64 is: 110,887.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,032.34 : 310,614.10 = 73,909.64 : x
  2. Step 2: Convert to fraction form
    207,032.34/310,614.10 = 73,909.64/x
  3. Step 3: Cross multiply
    207,032.34x = 310,614.10 × 73,909.64
  4. Step 4: Simplify right side
    207,032.34x = 22,957,376,309.92
  5. Step 5: Solve for x
    x = 22,957,376,309.92/207,032.34
  6. Step 6: Final answer
    x = 110,887.88

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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.