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Finding the Fourth Proportional to 125,833.10, 188,825.02 and 47,002.73

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Solution

The fourth proportional to 125,833.10, 188,825.02 and 47,002.73 is: 70,532.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,833.10 : 188,825.02 = 47,002.73 : x
  2. Step 2: Convert to fraction form
    125,833.10/188,825.02 = 47,002.73/x
  3. Step 3: Cross multiply
    125,833.10x = 188,825.02 × 47,002.73
  4. Step 4: Simplify right side
    125,833.10x = 8,875,290,370.67
  5. Step 5: Solve for x
    x = 8,875,290,370.67/125,833.10
  6. Step 6: Final answer
    x = 70,532.24

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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.