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Finding the Fourth Proportional to 129,645.80, 194,468.70 and 70,663.40

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Solution

The fourth proportional to 129,645.80, 194,468.70 and 70,663.40 is: 105,995.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,645.80 : 194,468.70 = 70,663.40 : x
  2. Step 2: Convert to fraction form
    129,645.80/194,468.70 = 70,663.40/x
  3. Step 3: Cross multiply
    129,645.80x = 194,468.70 × 70,663.40
  4. Step 4: Simplify right side
    129,645.80x = 13,741,819,535.58
  5. Step 5: Solve for x
    x = 13,741,819,535.58/129,645.80
  6. Step 6: Final answer
    x = 105,995.10

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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.