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Finding the Fourth Proportional to 206,239.28, 284,633.76 and 115,619.68

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Solution

The fourth proportional to 206,239.28, 284,633.76 and 115,619.68 is: 159,568.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,239.28 : 284,633.76 = 115,619.68 : x
  2. Step 2: Convert to fraction form
    206,239.28/284,633.76 = 115,619.68/x
  3. Step 3: Cross multiply
    206,239.28x = 284,633.76 × 115,619.68
  4. Step 4: Simplify right side
    206,239.28x = 32,909,264,248.40
  5. Step 5: Solve for x
    x = 32,909,264,248.40/206,239.28
  6. Step 6: Final answer
    x = 159,568.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.