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Finding the Fourth Proportional to 206,871.86, 310,284.54 and 57,133.44

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Solution

The fourth proportional to 206,871.86, 310,284.54 and 57,133.44 is: 85,693.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,871.86 : 310,284.54 = 57,133.44 : x
  2. Step 2: Convert to fraction form
    206,871.86/310,284.54 = 57,133.44/x
  3. Step 3: Cross multiply
    206,871.86x = 310,284.54 × 57,133.44
  4. Step 4: Simplify right side
    206,871.86x = 17,727,623,149.02
  5. Step 5: Solve for x
    x = 17,727,623,149.02/206,871.86
  6. Step 6: Final answer
    x = 85,693.74

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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.