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Finding the Fourth Proportional to 159,085.95, 238,738.47 and 65,591.70

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Solution

The fourth proportional to 159,085.95, 238,738.47 and 65,591.70 is: 98,432.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,085.95 : 238,738.47 = 65,591.70 : x
  2. Step 2: Convert to fraction form
    159,085.95/238,738.47 = 65,591.70/x
  3. Step 3: Cross multiply
    159,085.95x = 238,738.47 × 65,591.70
  4. Step 4: Simplify right side
    159,085.95x = 15,659,262,102.70
  5. Step 5: Solve for x
    x = 15,659,262,102.70/159,085.95
  6. Step 6: Final answer
    x = 98,432.72

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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.