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Finding the Fourth Proportional to 100,521.42, 138,719.68 and 55,202.34

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Solution

The fourth proportional to 100,521.42, 138,719.68 and 55,202.34 is: 76,179.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,521.42 : 138,719.68 = 55,202.34 : x
  2. Step 2: Convert to fraction form
    100,521.42/138,719.68 = 55,202.34/x
  3. Step 3: Cross multiply
    100,521.42x = 138,719.68 × 55,202.34
  4. Step 4: Simplify right side
    100,521.42x = 7,657,650,940.05
  5. Step 5: Solve for x
    x = 7,657,650,940.05/100,521.42
  6. Step 6: Final answer
    x = 76,179.30

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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.