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Finding the Fourth Proportional to 165,209.80, 247,840.62 and 98,725

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Solution

The fourth proportional to 165,209.80, 247,840.62 and 98,725 is: 148,102.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,209.80 : 247,840.62 = 98,725 : x
  2. Step 2: Convert to fraction form
    165,209.80/247,840.62 = 98,725/x
  3. Step 3: Cross multiply
    165,209.80x = 247,840.62 × 98,725
  4. Step 4: Simplify right side
    165,209.80x = 24,468,065,209.50
  5. Step 5: Solve for x
    x = 24,468,065,209.50/165,209.80
  6. Step 6: Final answer
    x = 148,102.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.