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Finding the Fourth Proportional to 259,296.38, 357,829.01 and 140,064.38

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Solution

The fourth proportional to 259,296.38, 357,829.01 and 140,064.38 is: 193,288.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,296.38 : 357,829.01 = 140,064.38 : x
  2. Step 2: Convert to fraction form
    259,296.38/357,829.01 = 140,064.38/x
  3. Step 3: Cross multiply
    259,296.38x = 357,829.01 × 140,064.38
  4. Step 4: Simplify right side
    259,296.38x = 50,119,098,431.66
  5. Step 5: Solve for x
    x = 50,119,098,431.66/259,296.38
  6. Step 6: Final answer
    x = 193,288.85

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1.5x scale

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.