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Finding the Fourth Proportional to 129,511.80, 193,878.90 and 76,894.20

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Solution

The fourth proportional to 129,511.80, 193,878.90 and 76,894.20 is: 115,110.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,511.80 : 193,878.90 = 76,894.20 : x
  2. Step 2: Convert to fraction form
    129,511.80/193,878.90 = 76,894.20/x
  3. Step 3: Cross multiply
    129,511.80x = 193,878.90 × 76,894.20
  4. Step 4: Simplify right side
    129,511.80x = 14,908,162,912.38
  5. Step 5: Solve for x
    x = 14,908,162,912.38/129,511.80
  6. Step 6: Final answer
    x = 115,110.46

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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.