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Finding the Fourth Proportional to 206,027.84, 308,519.04 and 172,660.16

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Solution

The fourth proportional to 206,027.84, 308,519.04 and 172,660.16 is: 258,552.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,027.84 : 308,519.04 = 172,660.16 : x
  2. Step 2: Convert to fraction form
    206,027.84/308,519.04 = 172,660.16/x
  3. Step 3: Cross multiply
    206,027.84x = 308,519.04 × 172,660.16
  4. Step 4: Simplify right side
    206,027.84x = 53,268,946,809.45
  5. Step 5: Solve for x
    x = 53,268,946,809.45/206,027.84
  6. Step 6: Final answer
    x = 258,552.18

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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.