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Finding the Fourth Proportional to 125,173.80, 186,644.16 and 111,264.48

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Solution

The fourth proportional to 125,173.80, 186,644.16 and 111,264.48 is: 165,904.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,173.80 : 186,644.16 = 111,264.48 : x
  2. Step 2: Convert to fraction form
    125,173.80/186,644.16 = 111,264.48/x
  3. Step 3: Cross multiply
    125,173.80x = 186,644.16 × 111,264.48
  4. Step 4: Simplify right side
    125,173.80x = 20,766,865,407.44
  5. Step 5: Solve for x
    x = 20,766,865,407.44/125,173.80
  6. Step 6: Final answer
    x = 165,904.25

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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.