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Finding the Fourth Proportional to 146,211.60, 219,025.80 and 83,809.20

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Solution

The fourth proportional to 146,211.60, 219,025.80 and 83,809.20 is: 125,546.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,211.60 : 219,025.80 = 83,809.20 : x
  2. Step 2: Convert to fraction form
    146,211.60/219,025.80 = 83,809.20/x
  3. Step 3: Cross multiply
    146,211.60x = 219,025.80 × 83,809.20
  4. Step 4: Simplify right side
    146,211.60x = 18,356,377,077.36
  5. Step 5: Solve for x
    x = 18,356,377,077.36/146,211.60
  6. Step 6: Final answer
    x = 125,546.65

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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.