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Finding the Fourth Proportional to 146,141.46, 219,082.59 and 71,219.70

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Solution

The fourth proportional to 146,141.46, 219,082.59 and 71,219.70 is: 106,766.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,141.46 : 219,082.59 = 71,219.70 : x
  2. Step 2: Convert to fraction form
    146,141.46/219,082.59 = 71,219.70/x
  3. Step 3: Cross multiply
    146,141.46x = 219,082.59 × 71,219.70
  4. Step 4: Simplify right side
    146,141.46x = 15,602,996,335.02
  5. Step 5: Solve for x
    x = 15,602,996,335.02/146,141.46
  6. Step 6: Final answer
    x = 106,766.39

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1.5x scale

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.