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Finding the Fourth Proportional to 152,009, 209,793.25 and 87,476.91

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Solution

The fourth proportional to 152,009, 209,793.25 and 87,476.91 is: 120,730.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,009 : 209,793.25 = 87,476.91 : x
  2. Step 2: Convert to fraction form
    152,009/209,793.25 = 87,476.91/x
  3. Step 3: Cross multiply
    152,009x = 209,793.25 × 87,476.91
  4. Step 4: Simplify right side
    152,009x = 18,352,065,248.86
  5. Step 5: Solve for x
    x = 18,352,065,248.86/152,009
  6. Step 6: Final answer
    x = 120,730.12

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