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Finding the Fourth Proportional to 101,772.60, 152,615.70 and 49,198.20

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Solution

The fourth proportional to 101,772.60, 152,615.70 and 49,198.20 is: 73,776.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,772.60 : 152,615.70 = 49,198.20 : x
  2. Step 2: Convert to fraction form
    101,772.60/152,615.70 = 49,198.20/x
  3. Step 3: Cross multiply
    101,772.60x = 152,615.70 × 49,198.20
  4. Step 4: Simplify right side
    101,772.60x = 7,508,417,731.74
  5. Step 5: Solve for x
    x = 7,508,417,731.74/101,772.60
  6. Step 6: Final answer
    x = 73,776.42

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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.