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Finding the Fourth Proportional to 159,582.43, 239,347.72 and 75,342.43

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Solution

The fourth proportional to 159,582.43, 239,347.72 and 75,342.43 is: 113,001.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,582.43 : 239,347.72 = 75,342.43 : x
  2. Step 2: Convert to fraction form
    159,582.43/239,347.72 = 75,342.43/x
  3. Step 3: Cross multiply
    159,582.43x = 239,347.72 × 75,342.43
  4. Step 4: Simplify right side
    159,582.43x = 18,033,038,839.76
  5. Step 5: Solve for x
    x = 18,033,038,839.76/159,582.43
  6. Step 6: Final answer
    x = 113,001.41

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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.