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Finding the Fourth Proportional to 102,202.88, 140,919.31 and 69,953.03

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Solution

The fourth proportional to 102,202.88, 140,919.31 and 69,953.03 is: 96,452.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,202.88 : 140,919.31 = 69,953.03 : x
  2. Step 2: Convert to fraction form
    102,202.88/140,919.31 = 69,953.03/x
  3. Step 3: Cross multiply
    102,202.88x = 140,919.31 × 69,953.03
  4. Step 4: Simplify right side
    102,202.88x = 9,857,732,897.42
  5. Step 5: Solve for x
    x = 9,857,732,897.42/102,202.88
  6. Step 6: Final answer
    x = 96,452.60

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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.