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Finding the Fourth Proportional to 253,605.61, 349,971.46 and 140,425.93

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Solution

The fourth proportional to 253,605.61, 349,971.46 and 140,425.93 is: 193,785.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,605.61 : 349,971.46 = 140,425.93 : x
  2. Step 2: Convert to fraction form
    253,605.61/349,971.46 = 140,425.93/x
  3. Step 3: Cross multiply
    253,605.61x = 349,971.46 × 140,425.93
  4. Step 4: Simplify right side
    253,605.61x = 49,145,067,743.96
  5. Step 5: Solve for x
    x = 49,145,067,743.96/253,605.61
  6. Step 6: Final answer
    x = 193,785.41

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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.