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Finding the Fourth Proportional to 235,585.80, 325,064.34 and 140,115.96

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Solution

The fourth proportional to 235,585.80, 325,064.34 and 140,115.96 is: 193,333.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,585.80 : 325,064.34 = 140,115.96 : x
  2. Step 2: Convert to fraction form
    235,585.80/325,064.34 = 140,115.96/x
  3. Step 3: Cross multiply
    235,585.80x = 325,064.34 × 140,115.96
  4. Step 4: Simplify right side
    235,585.80x = 45,546,702,060.87
  5. Step 5: Solve for x
    x = 45,546,702,060.87/235,585.80
  6. Step 6: Final answer
    x = 193,333.82

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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.