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Finding the Fourth Proportional to 275,901.12, 413,851.68 and 98,400.96

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Solution

The fourth proportional to 275,901.12, 413,851.68 and 98,400.96 is: 147,601.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,901.12 : 413,851.68 = 98,400.96 : x
  2. Step 2: Convert to fraction form
    275,901.12/413,851.68 = 98,400.96/x
  3. Step 3: Cross multiply
    275,901.12x = 413,851.68 × 98,400.96
  4. Step 4: Simplify right side
    275,901.12x = 40,723,402,609.61
  5. Step 5: Solve for x
    x = 40,723,402,609.61/275,901.12
  6. Step 6: Final answer
    x = 147,601.44

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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.