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Finding the Fourth Proportional to 259,295.38, 357,827.62 and 140,063.38

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Solution

The fourth proportional to 259,295.38, 357,827.62 and 140,063.38 is: 193,287.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,295.38 : 357,827.62 = 140,063.38 : x
  2. Step 2: Convert to fraction form
    259,295.38/357,827.62 = 140,063.38/x
  3. Step 3: Cross multiply
    259,295.38x = 357,827.62 × 140,063.38
  4. Step 4: Simplify right side
    259,295.38x = 50,118,545,914.56
  5. Step 5: Solve for x
    x = 50,118,545,914.56/259,295.38
  6. Step 6: Final answer
    x = 193,287.46

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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.