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Finding the Fourth Proportional to 223,766.60, 335,657.10 and 83,539.40

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Solution

The fourth proportional to 223,766.60, 335,657.10 and 83,539.40 is: 125,311.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,766.60 : 335,657.10 = 83,539.40 : x
  2. Step 2: Convert to fraction form
    223,766.60/335,657.10 = 83,539.40/x
  3. Step 3: Cross multiply
    223,766.60x = 335,657.10 × 83,539.40
  4. Step 4: Simplify right side
    223,766.60x = 28,040,592,739.74
  5. Step 5: Solve for x
    x = 28,040,592,739.74/223,766.60
  6. Step 6: Final answer
    x = 125,311.79

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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.