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Finding the Fourth Proportional to 462,103.72, 693,180.06 and 129,705.64

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Solution

The fourth proportional to 462,103.72, 693,180.06 and 129,705.64 is: 194,565.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,103.72 : 693,180.06 = 129,705.64 : x
  2. Step 2: Convert to fraction form
    462,103.72/693,180.06 = 129,705.64/x
  3. Step 3: Cross multiply
    462,103.72x = 693,180.06 × 129,705.64
  4. Step 4: Simplify right side
    462,103.72x = 89,909,363,317.54
  5. Step 5: Solve for x
    x = 89,909,363,317.54/462,103.72
  6. Step 6: Final answer
    x = 194,565.33

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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.