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Finding the Fourth Proportional to 100,323.16, 138,447.12 and 57,308.34

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Solution

The fourth proportional to 100,323.16, 138,447.12 and 57,308.34 is: 79,086.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,323.16 : 138,447.12 = 57,308.34 : x
  2. Step 2: Convert to fraction form
    100,323.16/138,447.12 = 57,308.34/x
  3. Step 3: Cross multiply
    100,323.16x = 138,447.12 × 57,308.34
  4. Step 4: Simplify right side
    100,323.16x = 7,934,175,359.06
  5. Step 5: Solve for x
    x = 7,934,175,359.06/100,323.16
  6. Step 6: Final answer
    x = 79,086.18

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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.