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Finding the Fourth Proportional to 100,204.29, 138,304.67 and 62,471.25

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Solution

The fourth proportional to 100,204.29, 138,304.67 and 62,471.25 is: 86,224.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,204.29 : 138,304.67 = 62,471.25 : x
  2. Step 2: Convert to fraction form
    100,204.29/138,304.67 = 62,471.25/x
  3. Step 3: Cross multiply
    100,204.29x = 138,304.67 × 62,471.25
  4. Step 4: Simplify right side
    100,204.29x = 8,640,065,303.38
  5. Step 5: Solve for x
    x = 8,640,065,303.38/100,204.29
  6. Step 6: Final answer
    x = 86,224.50

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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.