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Finding the Fourth Proportional to 206,643.60, 309,965.40 and 73,528.20

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Solution

The fourth proportional to 206,643.60, 309,965.40 and 73,528.20 is: 110,292.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,643.60 : 309,965.40 = 73,528.20 : x
  2. Step 2: Convert to fraction form
    206,643.60/309,965.40 = 73,528.20/x
  3. Step 3: Cross multiply
    206,643.60x = 309,965.40 × 73,528.20
  4. Step 4: Simplify right side
    206,643.60x = 22,791,197,924.28
  5. Step 5: Solve for x
    x = 22,791,197,924.28/206,643.60
  6. Step 6: Final answer
    x = 110,292.30

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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.