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Finding the Fourth Proportional to 100,977.40, 151,299.42 and 61,414.84

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Solution

The fourth proportional to 100,977.40, 151,299.42 and 61,414.84 is: 92,020.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,977.40 : 151,299.42 = 61,414.84 : x
  2. Step 2: Convert to fraction form
    100,977.40/151,299.42 = 61,414.84/x
  3. Step 3: Cross multiply
    100,977.40x = 151,299.42 × 61,414.84
  4. Step 4: Simplify right side
    100,977.40x = 9,292,029,671.39
  5. Step 5: Solve for x
    x = 9,292,029,671.39/100,977.40
  6. Step 6: Final answer
    x = 92,020.88

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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.