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Finding the Fourth Proportional to 100,123.20, 138,168 and 57,680.64

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Solution

The fourth proportional to 100,123.20, 138,168 and 57,680.64 is: 79,598.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,123.20 : 138,168 = 57,680.64 : x
  2. Step 2: Convert to fraction form
    100,123.20/138,168 = 57,680.64/x
  3. Step 3: Cross multiply
    100,123.20x = 138,168 × 57,680.64
  4. Step 4: Simplify right side
    100,123.20x = 7,969,618,667.52
  5. Step 5: Solve for x
    x = 7,969,618,667.52/100,123.20
  6. Step 6: Final answer
    x = 79,598.12

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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.