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Finding the Fourth Proportional to 206,726.20, 310,089.30 and 56,966.20

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Solution

The fourth proportional to 206,726.20, 310,089.30 and 56,966.20 is: 85,449.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,726.20 : 310,089.30 = 56,966.20 : x
  2. Step 2: Convert to fraction form
    206,726.20/310,089.30 = 56,966.20/x
  3. Step 3: Cross multiply
    206,726.20x = 310,089.30 × 56,966.20
  4. Step 4: Simplify right side
    206,726.20x = 17,664,609,081.66
  5. Step 5: Solve for x
    x = 17,664,609,081.66/206,726.20
  6. Step 6: Final answer
    x = 85,449.30

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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.