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Finding the Fourth Proportional to 149,114.52, 205,854.28 and 115,046.46

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Solution

The fourth proportional to 149,114.52, 205,854.28 and 115,046.46 is: 158,822.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,114.52 : 205,854.28 = 115,046.46 : x
  2. Step 2: Convert to fraction form
    149,114.52/205,854.28 = 115,046.46/x
  3. Step 3: Cross multiply
    149,114.52x = 205,854.28 × 115,046.46
  4. Step 4: Simplify right side
    149,114.52x = 23,682,805,902.23
  5. Step 5: Solve for x
    x = 23,682,805,902.23/149,114.52
  6. Step 6: Final answer
    x = 158,822.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.