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Finding the Fourth Proportional to 147,951.62, 221,894.95 and 42,747.70

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Solution

The fourth proportional to 147,951.62, 221,894.95 and 42,747.70 is: 64,112.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,951.62 : 221,894.95 = 42,747.70 : x
  2. Step 2: Convert to fraction form
    147,951.62/221,894.95 = 42,747.70/x
  3. Step 3: Cross multiply
    147,951.62x = 221,894.95 × 42,747.70
  4. Step 4: Simplify right side
    147,951.62x = 9,485,498,754.12
  5. Step 5: Solve for x
    x = 9,485,498,754.12/147,951.62
  6. Step 6: Final answer
    x = 64,112.17

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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.