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Finding the Fourth Proportional to 280,154.97, 420,355.98 and 147,003.12

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Solution

The fourth proportional to 280,154.97, 420,355.98 and 147,003.12 is: 220,569.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,154.97 : 420,355.98 = 147,003.12 : x
  2. Step 2: Convert to fraction form
    280,154.97/420,355.98 = 147,003.12/x
  3. Step 3: Cross multiply
    280,154.97x = 420,355.98 × 147,003.12
  4. Step 4: Simplify right side
    280,154.97x = 61,793,640,570.66
  5. Step 5: Solve for x
    x = 61,793,640,570.66/280,154.97
  6. Step 6: Final answer
    x = 220,569.50

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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.