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Finding the Fourth Proportional to 100,569.64, 138,724.26 and 72,313.16

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Solution

The fourth proportional to 100,569.64, 138,724.26 and 72,313.16 is: 99,747.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,569.64 : 138,724.26 = 72,313.16 : x
  2. Step 2: Convert to fraction form
    100,569.64/138,724.26 = 72,313.16/x
  3. Step 3: Cross multiply
    100,569.64x = 138,724.26 × 72,313.16
  4. Step 4: Simplify right side
    100,569.64x = 10,031,589,609.26
  5. Step 5: Solve for x
    x = 10,031,589,609.26/100,569.64
  6. Step 6: Final answer
    x = 99,747.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.