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Finding the Fourth Proportional to 146,209.60, 219,314.40 and 106,843.60

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Solution

The fourth proportional to 146,209.60, 219,314.40 and 106,843.60 is: 160,265.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,209.60 : 219,314.40 = 106,843.60 : x
  2. Step 2: Convert to fraction form
    146,209.60/219,314.40 = 106,843.60/x
  3. Step 3: Cross multiply
    146,209.60x = 219,314.40 × 106,843.60
  4. Step 4: Simplify right side
    146,209.60x = 23,432,340,027.84
  5. Step 5: Solve for x
    x = 23,432,340,027.84/146,209.60
  6. Step 6: Final answer
    x = 160,265.40

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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.