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Finding the Fourth Proportional to 159,134.34, 238,701.50 and 75,775.62

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Solution

The fourth proportional to 159,134.34, 238,701.50 and 75,775.62 is: 113,663.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,134.34 : 238,701.50 = 75,775.62 : x
  2. Step 2: Convert to fraction form
    159,134.34/238,701.50 = 75,775.62/x
  3. Step 3: Cross multiply
    159,134.34x = 238,701.50 × 75,775.62
  4. Step 4: Simplify right side
    159,134.34x = 18,087,754,157.43
  5. Step 5: Solve for x
    x = 18,087,754,157.43/159,134.34
  6. Step 6: Final answer
    x = 113,663.43

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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.