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Finding the Fourth Proportional to 101,768.49, 152,596.71 and 80,842.68

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Solution

The fourth proportional to 101,768.49, 152,596.71 and 80,842.68 is: 121,219.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,768.49 : 152,596.71 = 80,842.68 : x
  2. Step 2: Convert to fraction form
    101,768.49/152,596.71 = 80,842.68/x
  3. Step 3: Cross multiply
    101,768.49x = 152,596.71 × 80,842.68
  4. Step 4: Simplify right side
    101,768.49x = 12,336,326,995.58
  5. Step 5: Solve for x
    x = 12,336,326,995.58/101,768.49
  6. Step 6: Final answer
    x = 121,219.51

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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.