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Finding the Fourth Proportional to 100,969.10, 151,324.05 and 61,484.30

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Solution

The fourth proportional to 100,969.10, 151,324.05 and 61,484.30 is: 92,147.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,969.10 : 151,324.05 = 61,484.30 : x
  2. Step 2: Convert to fraction form
    100,969.10/151,324.05 = 61,484.30/x
  3. Step 3: Cross multiply
    100,969.10x = 151,324.05 × 61,484.30
  4. Step 4: Simplify right side
    100,969.10x = 9,304,053,287.42
  5. Step 5: Solve for x
    x = 9,304,053,287.42/100,969.10
  6. Step 6: Final answer
    x = 92,147.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.