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Finding the Fourth Proportional to 185,251.71, 277,116.36 and 147,884.76

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Solution

The fourth proportional to 185,251.71, 277,116.36 and 147,884.76 is: 221,219.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,251.71 : 277,116.36 = 147,884.76 : x
  2. Step 2: Convert to fraction form
    185,251.71/277,116.36 = 147,884.76/x
  3. Step 3: Cross multiply
    185,251.71x = 277,116.36 × 147,884.76
  4. Step 4: Simplify right side
    185,251.71x = 40,981,286,390.67
  5. Step 5: Solve for x
    x = 40,981,286,390.67/185,251.71
  6. Step 6: Final answer
    x = 221,219.48

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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.