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Finding the Fourth Proportional to 129,053.80, 193,582.14 and 40,300.84

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Solution

The fourth proportional to 129,053.80, 193,582.14 and 40,300.84 is: 60,451.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,053.80 : 193,582.14 = 40,300.84 : x
  2. Step 2: Convert to fraction form
    129,053.80/193,582.14 = 40,300.84/x
  3. Step 3: Cross multiply
    129,053.80x = 193,582.14 × 40,300.84
  4. Step 4: Simplify right side
    129,053.80x = 7,801,522,851.00
  5. Step 5: Solve for x
    x = 7,801,522,851.00/129,053.80
  6. Step 6: Final answer
    x = 60,451.71

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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.