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Finding the Fourth Proportional to 206,611.20, 309,916.80 and 135,752.40

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Solution

The fourth proportional to 206,611.20, 309,916.80 and 135,752.40 is: 203,628.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,611.20 : 309,916.80 = 135,752.40 : x
  2. Step 2: Convert to fraction form
    206,611.20/309,916.80 = 135,752.40/x
  3. Step 3: Cross multiply
    206,611.20x = 309,916.80 × 135,752.40
  4. Step 4: Simplify right side
    206,611.20x = 42,071,949,400.32
  5. Step 5: Solve for x
    x = 42,071,949,400.32/206,611.20
  6. Step 6: Final answer
    x = 203,628.60

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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.