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Finding the Fourth Proportional to 259,206.68, 357,712.80 and 151,766.66

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Solution

The fourth proportional to 259,206.68, 357,712.80 and 151,766.66 is: 209,442.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,206.68 : 357,712.80 = 151,766.66 : x
  2. Step 2: Convert to fraction form
    259,206.68/357,712.80 = 151,766.66/x
  3. Step 3: Cross multiply
    259,206.68x = 357,712.80 × 151,766.66
  4. Step 4: Simplify right side
    259,206.68x = 54,288,876,895.25
  5. Step 5: Solve for x
    x = 54,288,876,895.25/259,206.68
  6. Step 6: Final answer
    x = 209,442.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.