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Finding the Fourth Proportional to 146,230.60, 219,345.90 and 106,864.60

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Solution

The fourth proportional to 146,230.60, 219,345.90 and 106,864.60 is: 160,296.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,230.60 : 219,345.90 = 106,864.60 : x
  2. Step 2: Convert to fraction form
    146,230.60/219,345.90 = 106,864.60/x
  3. Step 3: Cross multiply
    146,230.60x = 219,345.90 × 106,864.60
  4. Step 4: Simplify right side
    146,230.60x = 23,440,311,865.14
  5. Step 5: Solve for x
    x = 23,440,311,865.14/146,230.60
  6. Step 6: Final answer
    x = 160,296.90

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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.