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Finding the Fourth Proportional to 140,614.98, 210,923.28 and 57,508.98

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Solution

The fourth proportional to 140,614.98, 210,923.28 and 57,508.98 is: 86,263.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,614.98 : 210,923.28 = 57,508.98 : x
  2. Step 2: Convert to fraction form
    140,614.98/210,923.28 = 57,508.98/x
  3. Step 3: Cross multiply
    140,614.98x = 210,923.28 × 57,508.98
  4. Step 4: Simplify right side
    140,614.98x = 12,129,982,691.05
  5. Step 5: Solve for x
    x = 12,129,982,691.05/140,614.98
  6. Step 6: Final answer
    x = 86,263.80

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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.