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Finding the Fourth Proportional to 140,843.61, 211,273.11 and 35,663.49

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Solution

The fourth proportional to 140,843.61, 211,273.11 and 35,663.49 is: 53,497.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,843.61 : 211,273.11 = 35,663.49 : x
  2. Step 2: Convert to fraction form
    140,843.61/211,273.11 = 35,663.49/x
  3. Step 3: Cross multiply
    140,843.61x = 211,273.11 × 35,663.49
  4. Step 4: Simplify right side
    140,843.61x = 7,534,736,445.75
  5. Step 5: Solve for x
    x = 7,534,736,445.75/140,843.61
  6. Step 6: Final answer
    x = 53,497.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.