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Finding the Fourth Proportional to 100,942.20, 151,283.70 and 77,452.20

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Solution

The fourth proportional to 100,942.20, 151,283.70 and 77,452.20 is: 116,078.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,942.20 : 151,283.70 = 77,452.20 : x
  2. Step 2: Convert to fraction form
    100,942.20/151,283.70 = 77,452.20/x
  3. Step 3: Cross multiply
    100,942.20x = 151,283.70 × 77,452.20
  4. Step 4: Simplify right side
    100,942.20x = 11,717,255,389.14
  5. Step 5: Solve for x
    x = 11,717,255,389.14/100,942.20
  6. Step 6: Final answer
    x = 116,078.86

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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.