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Finding the Fourth Proportional to 152,073.24, 209,854.15 and 87,539.73

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Solution

The fourth proportional to 152,073.24, 209,854.15 and 87,539.73 is: 120,800.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,073.24 : 209,854.15 = 87,539.73 : x
  2. Step 2: Convert to fraction form
    152,073.24/209,854.15 = 87,539.73/x
  3. Step 3: Cross multiply
    152,073.24x = 209,854.15 × 87,539.73
  4. Step 4: Simplify right side
    152,073.24x = 18,370,575,630.38
  5. Step 5: Solve for x
    x = 18,370,575,630.38/152,073.24
  6. Step 6: Final answer
    x = 120,800.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.