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Finding the Fourth Proportional to 159,897.68, 239,824.66 and 47,595.24

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Solution

The fourth proportional to 159,897.68, 239,824.66 and 47,595.24 is: 71,386.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,897.68 : 239,824.66 = 47,595.24 : x
  2. Step 2: Convert to fraction form
    159,897.68/239,824.66 = 47,595.24/x
  3. Step 3: Cross multiply
    159,897.68x = 239,824.66 × 47,595.24
  4. Step 4: Simplify right side
    159,897.68x = 11,414,512,250.62
  5. Step 5: Solve for x
    x = 11,414,512,250.62/159,897.68
  6. Step 6: Final answer
    x = 71,386.35

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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.