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Finding the Fourth Proportional to 152,098.34, 209,825.88 and 98,400.65

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Solution

The fourth proportional to 152,098.34, 209,825.88 and 98,400.65 is: 135,747.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,098.34 : 209,825.88 = 98,400.65 : x
  2. Step 2: Convert to fraction form
    152,098.34/209,825.88 = 98,400.65/x
  3. Step 3: Cross multiply
    152,098.34x = 209,825.88 × 98,400.65
  4. Step 4: Simplify right side
    152,098.34x = 20,647,002,978.82
  5. Step 5: Solve for x
    x = 20,647,002,978.82/152,098.34
  6. Step 6: Final answer
    x = 135,747.72

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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.