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Finding the Fourth Proportional to 154,204.34, 230,947.24 and 149,947.90

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Solution

The fourth proportional to 154,204.34, 230,947.24 and 149,947.90 is: 224,572.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,204.34 : 230,947.24 = 149,947.90 : x
  2. Step 2: Convert to fraction form
    154,204.34/230,947.24 = 149,947.90/x
  3. Step 3: Cross multiply
    154,204.34x = 230,947.24 × 149,947.90
  4. Step 4: Simplify right side
    154,204.34x = 34,630,053,648.80
  5. Step 5: Solve for x
    x = 34,630,053,648.80/154,204.34
  6. Step 6: Final answer
    x = 224,572.50

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