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Finding the Fourth Proportional to 129,833.91, 194,776.12 and 49,866.03

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Solution

The fourth proportional to 129,833.91, 194,776.12 and 49,866.03 is: 74,808.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,833.91 : 194,776.12 = 49,866.03 : x
  2. Step 2: Convert to fraction form
    129,833.91/194,776.12 = 49,866.03/x
  3. Step 3: Cross multiply
    129,833.91x = 194,776.12 × 49,866.03
  4. Step 4: Simplify right side
    129,833.91x = 9,712,711,575.74
  5. Step 5: Solve for x
    x = 9,712,711,575.74/129,833.91
  6. Step 6: Final answer
    x = 74,808.74

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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.