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Finding the Fourth Proportional to 147,445.32, 203,456.70 and 83,765.28

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Solution

The fourth proportional to 147,445.32, 203,456.70 and 83,765.28 is: 115,585.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,445.32 : 203,456.70 = 83,765.28 : x
  2. Step 2: Convert to fraction form
    147,445.32/203,456.70 = 83,765.28/x
  3. Step 3: Cross multiply
    147,445.32x = 203,456.70 × 83,765.28
  4. Step 4: Simplify right side
    147,445.32x = 17,042,607,443.38
  5. Step 5: Solve for x
    x = 17,042,607,443.38/147,445.32
  6. Step 6: Final answer
    x = 115,585.95

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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.