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Finding the Fourth Proportional to 148,726.74, 205,243.65 and 85,067.22

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Solution

The fourth proportional to 148,726.74, 205,243.65 and 85,067.22 is: 117,393.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,726.74 : 205,243.65 = 85,067.22 : x
  2. Step 2: Convert to fraction form
    148,726.74/205,243.65 = 85,067.22/x
  3. Step 3: Cross multiply
    148,726.74x = 205,243.65 × 85,067.22
  4. Step 4: Simplify right side
    148,726.74x = 17,459,506,728.15
  5. Step 5: Solve for x
    x = 17,459,506,728.15/148,726.74
  6. Step 6: Final answer
    x = 117,393.19

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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.