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Finding the Fourth Proportional to 159,187.52, 238,833.12 and 76,088

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Solution

The fourth proportional to 159,187.52, 238,833.12 and 76,088 is: 114,156.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,187.52 : 238,833.12 = 76,088 : x
  2. Step 2: Convert to fraction form
    159,187.52/238,833.12 = 76,088/x
  3. Step 3: Cross multiply
    159,187.52x = 238,833.12 × 76,088
  4. Step 4: Simplify right side
    159,187.52x = 18,172,334,434.56
  5. Step 5: Solve for x
    x = 18,172,334,434.56/159,187.52
  6. Step 6: Final answer
    x = 114,156.78

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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.