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Finding the Fourth Proportional to 194,768.20, 292,037.10 and 101,456.20

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Solution

The fourth proportional to 194,768.20, 292,037.10 and 101,456.20 is: 152,124.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,768.20 : 292,037.10 = 101,456.20 : x
  2. Step 2: Convert to fraction form
    194,768.20/292,037.10 = 101,456.20/x
  3. Step 3: Cross multiply
    194,768.20x = 292,037.10 × 101,456.20
  4. Step 4: Simplify right side
    194,768.20x = 29,628,974,425.02
  5. Step 5: Solve for x
    x = 29,628,974,425.02/194,768.20
  6. Step 6: Final answer
    x = 152,124.29

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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.