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Finding the Fourth Proportional to 206,857.86, 310,304.59 and 57,098.17

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Solution

The fourth proportional to 206,857.86, 310,304.59 and 57,098.17 is: 85,652.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,857.86 : 310,304.59 = 57,098.17 : x
  2. Step 2: Convert to fraction form
    206,857.86/310,304.59 = 57,098.17/x
  3. Step 3: Cross multiply
    206,857.86x = 310,304.59 × 57,098.17
  4. Step 4: Simplify right side
    206,857.86x = 17,717,824,231.60
  5. Step 5: Solve for x
    x = 17,717,824,231.60/206,857.86
  6. Step 6: Final answer
    x = 85,652.17

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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.