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Finding the Fourth Proportional to 129,138.14, 193,764.72 and 65,924.84

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Solution

The fourth proportional to 129,138.14, 193,764.72 and 65,924.84 is: 98,916.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,138.14 : 193,764.72 = 65,924.84 : x
  2. Step 2: Convert to fraction form
    129,138.14/193,764.72 = 65,924.84/x
  3. Step 3: Cross multiply
    129,138.14x = 193,764.72 × 65,924.84
  4. Step 4: Simplify right side
    129,138.14x = 12,773,908,163.64
  5. Step 5: Solve for x
    x = 12,773,908,163.64/129,138.14
  6. Step 6: Final answer
    x = 98,916.62

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1.5x scale

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.