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Finding the Fourth Proportional to 125,169.85, 187,754.73 and 83,132

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Solution

The fourth proportional to 125,169.85, 187,754.73 and 83,132 is: 124,697.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,169.85 : 187,754.73 = 83,132 : x
  2. Step 2: Convert to fraction form
    125,169.85/187,754.73 = 83,132/x
  3. Step 3: Cross multiply
    125,169.85x = 187,754.73 × 83,132
  4. Step 4: Simplify right side
    125,169.85x = 15,608,426,214.36
  5. Step 5: Solve for x
    x = 15,608,426,214.36/125,169.85
  6. Step 6: Final answer
    x = 124,697.97

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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.