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Finding the Fourth Proportional to 125,957.12, 188,014.13 and 111,010.86

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Solution

The fourth proportional to 125,957.12, 188,014.13 and 111,010.86 is: 165,704.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,957.12 : 188,014.13 = 111,010.86 : x
  2. Step 2: Convert to fraction form
    125,957.12/188,014.13 = 111,010.86/x
  3. Step 3: Cross multiply
    125,957.12x = 188,014.13 × 111,010.86
  4. Step 4: Simplify right side
    125,957.12x = 20,871,609,708.40
  5. Step 5: Solve for x
    x = 20,871,609,708.40/125,957.12
  6. Step 6: Final answer
    x = 165,704.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.