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Finding the Fourth Proportional to 146,648.40, 219,972.60 and 102,411.60

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Solution

The fourth proportional to 146,648.40, 219,972.60 and 102,411.60 is: 153,617.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,648.40 : 219,972.60 = 102,411.60 : x
  2. Step 2: Convert to fraction form
    146,648.40/219,972.60 = 102,411.60/x
  3. Step 3: Cross multiply
    146,648.40x = 219,972.60 × 102,411.60
  4. Step 4: Simplify right side
    146,648.40x = 22,527,745,922.16
  5. Step 5: Solve for x
    x = 22,527,745,922.16/146,648.40
  6. Step 6: Final answer
    x = 153,617.40

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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.