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Finding the Fourth Proportional to 275,602.60, 413,306.70 and 98,115.40

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Solution

The fourth proportional to 275,602.60, 413,306.70 and 98,115.40 is: 147,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,602.60 : 413,306.70 = 98,115.40 : x
  2. Step 2: Convert to fraction form
    275,602.60/413,306.70 = 98,115.40/x
  3. Step 3: Cross multiply
    275,602.60x = 413,306.70 × 98,115.40
  4. Step 4: Simplify right side
    275,602.60x = 40,551,752,193.18
  5. Step 5: Solve for x
    x = 40,551,752,193.18/275,602.60
  6. Step 6: Final answer
    x = 147,138.50

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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.