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Finding the Fourth Proportional to 259,293.66, 357,825.25 and 140,061.66

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Solution

The fourth proportional to 259,293.66, 357,825.25 and 140,061.66 is: 193,285.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,293.66 : 357,825.25 = 140,061.66 : x
  2. Step 2: Convert to fraction form
    259,293.66/357,825.25 = 140,061.66/x
  3. Step 3: Cross multiply
    259,293.66x = 357,825.25 × 140,061.66
  4. Step 4: Simplify right side
    259,293.66x = 50,117,596,550.30
  5. Step 5: Solve for x
    x = 50,117,596,550.30/259,293.66
  6. Step 6: Final answer
    x = 193,285.09

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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.