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Finding the Fourth Proportional to 159,711.84, 239,526.84 and 47,365.80

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Solution

The fourth proportional to 159,711.84, 239,526.84 and 47,365.80 is: 71,036.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,711.84 : 239,526.84 = 47,365.80 : x
  2. Step 2: Convert to fraction form
    159,711.84/239,526.84 = 47,365.80/x
  3. Step 3: Cross multiply
    159,711.84x = 239,526.84 × 47,365.80
  4. Step 4: Simplify right side
    159,711.84x = 11,345,380,398.07
  5. Step 5: Solve for x
    x = 11,345,380,398.07/159,711.84
  6. Step 6: Final answer
    x = 71,036.56

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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.