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Finding the Fourth Proportional to 110,195.78, 152,069.42 and 59,894.78

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Solution

The fourth proportional to 110,195.78, 152,069.42 and 59,894.78 is: 82,654.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,195.78 : 152,069.42 = 59,894.78 : x
  2. Step 2: Convert to fraction form
    110,195.78/152,069.42 = 59,894.78/x
  3. Step 3: Cross multiply
    110,195.78x = 152,069.42 × 59,894.78
  4. Step 4: Simplify right side
    110,195.78x = 9,108,164,156.15
  5. Step 5: Solve for x
    x = 9,108,164,156.15/110,195.78
  6. Step 6: Final answer
    x = 82,654.38

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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.