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Finding the Fourth Proportional to 206,276.40, 309,706.20 and 127,544.40

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Solution

The fourth proportional to 206,276.40, 309,706.20 and 127,544.40 is: 191,496.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,276.40 : 309,706.20 = 127,544.40 : x
  2. Step 2: Convert to fraction form
    206,276.40/309,706.20 = 127,544.40/x
  3. Step 3: Cross multiply
    206,276.40x = 309,706.20 × 127,544.40
  4. Step 4: Simplify right side
    206,276.40x = 39,501,291,455.28
  5. Step 5: Solve for x
    x = 39,501,291,455.28/206,276.40
  6. Step 6: Final answer
    x = 191,496.90

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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.