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Finding the Fourth Proportional to 129,734.70, 194,448.45 and 54,854.70

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Solution

The fourth proportional to 129,734.70, 194,448.45 and 54,854.70 is: 82,217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,734.70 : 194,448.45 = 54,854.70 : x
  2. Step 2: Convert to fraction form
    129,734.70/194,448.45 = 54,854.70/x
  3. Step 3: Cross multiply
    129,734.70x = 194,448.45 × 54,854.70
  4. Step 4: Simplify right side
    129,734.70x = 10,666,411,390.22
  5. Step 5: Solve for x
    x = 10,666,411,390.22/129,734.70
  6. Step 6: Final answer
    x = 82,217.10

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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.