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Finding the Fourth Proportional to 140,602.62, 210,923.97 and 51,849.24

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Solution

The fourth proportional to 140,602.62, 210,923.97 and 51,849.24 is: 77,781.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,602.62 : 210,923.97 = 51,849.24 : x
  2. Step 2: Convert to fraction form
    140,602.62/210,923.97 = 51,849.24/x
  3. Step 3: Cross multiply
    140,602.62x = 210,923.97 × 51,849.24
  4. Step 4: Simplify right side
    140,602.62x = 10,936,247,542.28
  5. Step 5: Solve for x
    x = 10,936,247,542.28/140,602.62
  6. Step 6: Final answer
    x = 77,781.25

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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.