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Finding the Fourth Proportional to 153,124.29, 229,686.39 and 47,951.46

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Solution

The fourth proportional to 153,124.29, 229,686.39 and 47,951.46 is: 71,927.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,124.29 : 229,686.39 = 47,951.46 : x
  2. Step 2: Convert to fraction form
    153,124.29/229,686.39 = 47,951.46/x
  3. Step 3: Cross multiply
    153,124.29x = 229,686.39 × 47,951.46
  4. Step 4: Simplify right side
    153,124.29x = 11,013,797,742.63
  5. Step 5: Solve for x
    x = 11,013,797,742.63/153,124.29
  6. Step 6: Final answer
    x = 71,927.18

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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.