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Finding the Fourth Proportional to 149,101.20, 223,774.20 and 147,934.80

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Solution

The fourth proportional to 149,101.20, 223,774.20 and 147,934.80 is: 222,023.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,101.20 : 223,774.20 = 147,934.80 : x
  2. Step 2: Convert to fraction form
    149,101.20/223,774.20 = 147,934.80/x
  3. Step 3: Cross multiply
    149,101.20x = 223,774.20 × 147,934.80
  4. Step 4: Simplify right side
    149,101.20x = 33,103,991,522.16
  5. Step 5: Solve for x
    x = 33,103,991,522.16/149,101.20
  6. Step 6: Final answer
    x = 222,023.64

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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.