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Finding the Fourth Proportional to 206,701.60, 310,052.40 and 203,202.40

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Solution

The fourth proportional to 206,701.60, 310,052.40 and 203,202.40 is: 304,803.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,701.60 : 310,052.40 = 203,202.40 : x
  2. Step 2: Convert to fraction form
    206,701.60/310,052.40 = 203,202.40/x
  3. Step 3: Cross multiply
    206,701.60x = 310,052.40 × 203,202.40
  4. Step 4: Simplify right side
    206,701.60x = 63,003,391,805.76
  5. Step 5: Solve for x
    x = 63,003,391,805.76/206,701.60
  6. Step 6: Final answer
    x = 304,803.60

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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.