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Finding the Fourth Proportional to 259,410.24, 357,985.92 and 140,178.24

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Solution

The fourth proportional to 259,410.24, 357,985.92 and 140,178.24 is: 193,445.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,410.24 : 357,985.92 = 140,178.24 : x
  2. Step 2: Convert to fraction form
    259,410.24/357,985.92 = 140,178.24/x
  3. Step 3: Cross multiply
    259,410.24x = 357,985.92 × 140,178.24
  4. Step 4: Simplify right side
    259,410.24x = 50,181,836,210.38
  5. Step 5: Solve for x
    x = 50,181,836,210.38/259,410.24
  6. Step 6: Final answer
    x = 193,445.86

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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.