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Finding the Fourth Proportional to 146,151.96, 219,098.34 and 71,230.20

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Solution

The fourth proportional to 146,151.96, 219,098.34 and 71,230.20 is: 106,782.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,151.96 : 219,098.34 = 71,230.20 : x
  2. Step 2: Convert to fraction form
    146,151.96/219,098.34 = 71,230.20/x
  3. Step 3: Cross multiply
    146,151.96x = 219,098.34 × 71,230.20
  4. Step 4: Simplify right side
    146,151.96x = 15,606,418,577.87
  5. Step 5: Solve for x
    x = 15,606,418,577.87/146,151.96
  6. Step 6: Final answer
    x = 106,782.14

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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.