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Finding the Fourth Proportional to 114,614.31, 172,101.33 and 97,074.90

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Solution

The fourth proportional to 114,614.31, 172,101.33 and 97,074.90 is: 145,764.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,614.31 : 172,101.33 = 97,074.90 : x
  2. Step 2: Convert to fraction form
    114,614.31/172,101.33 = 97,074.90/x
  3. Step 3: Cross multiply
    114,614.31x = 172,101.33 × 97,074.90
  4. Step 4: Simplify right side
    114,614.31x = 16,706,719,399.62
  5. Step 5: Solve for x
    x = 16,706,719,399.62/114,614.31
  6. Step 6: Final answer
    x = 145,764.69

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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.