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Finding the Fourth Proportional to 125,175.30, 186,646.40 and 111,265.98

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Solution

The fourth proportional to 125,175.30, 186,646.40 and 111,265.98 is: 165,906.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,175.30 : 186,646.40 = 111,265.98 : x
  2. Step 2: Convert to fraction form
    125,175.30/186,646.40 = 111,265.98/x
  3. Step 3: Cross multiply
    125,175.30x = 186,646.40 × 111,265.98
  4. Step 4: Simplify right side
    125,175.30x = 20,767,394,053.14
  5. Step 5: Solve for x
    x = 20,767,394,053.14/125,175.30
  6. Step 6: Final answer
    x = 165,906.49

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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.