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Finding the Fourth Proportional to 253,476.90, 349,761.51 and 140,299.38

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Solution

The fourth proportional to 253,476.90, 349,761.51 and 140,299.38 is: 193,592.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,476.90 : 349,761.51 = 140,299.38 : x
  2. Step 2: Convert to fraction form
    253,476.90/349,761.51 = 140,299.38/x
  3. Step 3: Cross multiply
    253,476.90x = 349,761.51 × 140,299.38
  4. Step 4: Simplify right side
    253,476.90x = 49,071,323,000.86
  5. Step 5: Solve for x
    x = 49,071,323,000.86/253,476.90
  6. Step 6: Final answer
    x = 193,592.88

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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.