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Finding the Fourth Proportional to 100,409.24, 138,507.18 and 62,617.88

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Solution

The fourth proportional to 100,409.24, 138,507.18 and 62,617.88 is: 86,376.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,409.24 : 138,507.18 = 62,617.88 : x
  2. Step 2: Convert to fraction form
    100,409.24/138,507.18 = 62,617.88/x
  3. Step 3: Cross multiply
    100,409.24x = 138,507.18 × 62,617.88
  4. Step 4: Simplify right side
    100,409.24x = 8,673,025,976.38
  5. Step 5: Solve for x
    x = 8,673,025,976.38/100,409.24
  6. Step 6: Final answer
    x = 86,376.77

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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.