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Finding the Fourth Proportional to 154,279.95, 231,374.57 and 65,532.75

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Solution

The fourth proportional to 154,279.95, 231,374.57 and 65,532.75 is: 98,279.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,279.95 : 231,374.57 = 65,532.75 : x
  2. Step 2: Convert to fraction form
    154,279.95/231,374.57 = 65,532.75/x
  3. Step 3: Cross multiply
    154,279.95x = 231,374.57 × 65,532.75
  4. Step 4: Simplify right side
    154,279.95x = 15,162,611,524.50
  5. Step 5: Solve for x
    x = 15,162,611,524.50/154,279.95
  6. Step 6: Final answer
    x = 98,279.86

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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.