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Finding the Fourth Proportional to 206,323.63, 284,720.06 and 115,684.78

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Solution

The fourth proportional to 206,323.63, 284,720.06 and 115,684.78 is: 159,641.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,323.63 : 284,720.06 = 115,684.78 : x
  2. Step 2: Convert to fraction form
    206,323.63/284,720.06 = 115,684.78/x
  3. Step 3: Cross multiply
    206,323.63x = 284,720.06 × 115,684.78
  4. Step 4: Simplify right side
    206,323.63x = 32,937,778,414.72
  5. Step 5: Solve for x
    x = 32,937,778,414.72/206,323.63
  6. Step 6: Final answer
    x = 159,641.33

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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.