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Finding the Fourth Proportional to 231,223.54, 319,139.95 and 140,560.31

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Solution

The fourth proportional to 231,223.54, 319,139.95 and 140,560.31 is: 194,004.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,223.54 : 319,139.95 = 140,560.31 : x
  2. Step 2: Convert to fraction form
    231,223.54/319,139.95 = 140,560.31/x
  3. Step 3: Cross multiply
    231,223.54x = 319,139.95 × 140,560.31
  4. Step 4: Simplify right side
    231,223.54x = 44,858,411,015.38
  5. Step 5: Solve for x
    x = 44,858,411,015.38/231,223.54
  6. Step 6: Final answer
    x = 194,004.52

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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.