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Finding the Fourth Proportional to 129,103.80, 193,655.70 and 35,609.40

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Solution

The fourth proportional to 129,103.80, 193,655.70 and 35,609.40 is: 53,414.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,103.80 : 193,655.70 = 35,609.40 : x
  2. Step 2: Convert to fraction form
    129,103.80/193,655.70 = 35,609.40/x
  3. Step 3: Cross multiply
    129,103.80x = 193,655.70 × 35,609.40
  4. Step 4: Simplify right side
    129,103.80x = 6,895,963,283.58
  5. Step 5: Solve for x
    x = 6,895,963,283.58/129,103.80
  6. Step 6: Final answer
    x = 53,414.10

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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.