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Finding the Fourth Proportional to 265,016.25, 365,726.07 and 151,839

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Solution

The fourth proportional to 265,016.25, 365,726.07 and 151,839 is: 209,539.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,016.25 : 365,726.07 = 151,839 : x
  2. Step 2: Convert to fraction form
    265,016.25/365,726.07 = 151,839/x
  3. Step 3: Cross multiply
    265,016.25x = 365,726.07 × 151,839
  4. Step 4: Simplify right side
    265,016.25x = 55,531,480,742.73
  5. Step 5: Solve for x
    x = 55,531,480,742.73/265,016.25
  6. Step 6: Final answer
    x = 209,539.91

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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.