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Finding the Fourth Proportional to 147,118.46, 220,656.71 and 47,265.71

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Solution

The fourth proportional to 147,118.46, 220,656.71 and 47,265.71 is: 70,891.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,118.46 : 220,656.71 = 47,265.71 : x
  2. Step 2: Convert to fraction form
    147,118.46/220,656.71 = 47,265.71/x
  3. Step 3: Cross multiply
    147,118.46x = 220,656.71 × 47,265.71
  4. Step 4: Simplify right side
    147,118.46x = 10,429,494,724.80
  5. Step 5: Solve for x
    x = 10,429,494,724.80/147,118.46
  6. Step 6: Final answer
    x = 70,891.82

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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.