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Finding the Fourth Proportional to 146,957.60, 206,207.20 and 146,957.60

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Solution

The fourth proportional to 146,957.60, 206,207.20 and 146,957.60 is: 206,207.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,957.60 : 206,207.20 = 146,957.60 : x
  2. Step 2: Convert to fraction form
    146,957.60/206,207.20 = 146,957.60/x
  3. Step 3: Cross multiply
    146,957.60x = 206,207.20 × 146,957.60
  4. Step 4: Simplify right side
    146,957.60x = 30,303,715,214.72
  5. Step 5: Solve for x
    x = 30,303,715,214.72/146,957.60
  6. Step 6: Final answer
    x = 206,207.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.