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Finding the Fourth Proportional to 206,691.54, 310,014.27 and 56,943.06

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Solution

The fourth proportional to 206,691.54, 310,014.27 and 56,943.06 is: 85,408.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,691.54 : 310,014.27 = 56,943.06 : x
  2. Step 2: Convert to fraction form
    206,691.54/310,014.27 = 56,943.06/x
  3. Step 3: Cross multiply
    206,691.54x = 310,014.27 × 56,943.06
  4. Step 4: Simplify right side
    206,691.54x = 17,653,161,177.47
  5. Step 5: Solve for x
    x = 17,653,161,177.47/206,691.54
  6. Step 6: Final answer
    x = 85,408.24

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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.