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Finding the Fourth Proportional to 159,354.48, 239,008.56 and 47,029.20

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Solution

The fourth proportional to 159,354.48, 239,008.56 and 47,029.20 is: 70,536.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,354.48 : 239,008.56 = 47,029.20 : x
  2. Step 2: Convert to fraction form
    159,354.48/239,008.56 = 47,029.20/x
  3. Step 3: Cross multiply
    159,354.48x = 239,008.56 × 47,029.20
  4. Step 4: Simplify right side
    159,354.48x = 11,240,381,369.95
  5. Step 5: Solve for x
    x = 11,240,381,369.95/159,354.48
  6. Step 6: Final answer
    x = 70,536.96

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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.