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Finding the Fourth Proportional to 154,063.14, 230,947.08 and 65,194.38

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Solution

The fourth proportional to 154,063.14, 230,947.08 and 65,194.38 is: 97,729.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,063.14 : 230,947.08 = 65,194.38 : x
  2. Step 2: Convert to fraction form
    154,063.14/230,947.08 = 65,194.38/x
  3. Step 3: Cross multiply
    154,063.14x = 230,947.08 × 65,194.38
  4. Step 4: Simplify right side
    154,063.14x = 15,056,451,693.41
  5. Step 5: Solve for x
    x = 15,056,451,693.41/154,063.14
  6. Step 6: Final answer
    x = 97,729.10

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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.