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Finding the Fourth Proportional to 265,712.32, 366,664.62 and 149,443.20

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Solution

The fourth proportional to 265,712.32, 366,664.62 and 149,443.20 is: 206,221.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,712.32 : 366,664.62 = 149,443.20 : x
  2. Step 2: Convert to fraction form
    265,712.32/366,664.62 = 149,443.20/x
  3. Step 3: Cross multiply
    265,712.32x = 366,664.62 × 149,443.20
  4. Step 4: Simplify right side
    265,712.32x = 54,795,534,139.58
  5. Step 5: Solve for x
    x = 54,795,534,139.58/265,712.32
  6. Step 6: Final answer
    x = 206,221.28

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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.