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Finding the Fourth Proportional to 125,314.26, 187,982.43 and 35,357.76

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Solution

The fourth proportional to 125,314.26, 187,982.43 and 35,357.76 is: 53,039.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,314.26 : 187,982.43 = 35,357.76 : x
  2. Step 2: Convert to fraction form
    125,314.26/187,982.43 = 35,357.76/x
  3. Step 3: Cross multiply
    125,314.26x = 187,982.43 × 35,357.76
  4. Step 4: Simplify right side
    125,314.26x = 6,646,637,644.16
  5. Step 5: Solve for x
    x = 6,646,637,644.16/125,314.26
  6. Step 6: Final answer
    x = 53,039.75

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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.