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Finding the Fourth Proportional to 125,177.54, 186,649.72 and 111,268.22

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Solution

The fourth proportional to 125,177.54, 186,649.72 and 111,268.22 is: 165,909.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,177.54 : 186,649.72 = 111,268.22 : x
  2. Step 2: Convert to fraction form
    125,177.54/186,649.72 = 111,268.22/x
  3. Step 3: Cross multiply
    125,177.54x = 186,649.72 × 111,268.22
  4. Step 4: Simplify right side
    125,177.54x = 20,768,180,896.48
  5. Step 5: Solve for x
    x = 20,768,180,896.48/125,177.54
  6. Step 6: Final answer
    x = 165,909.81

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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.