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Finding the Fourth Proportional to 100,379.84, 138,519.78 and 60,116

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Solution

The fourth proportional to 100,379.84, 138,519.78 and 60,116 is: 82,957.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,379.84 : 138,519.78 = 60,116 : x
  2. Step 2: Convert to fraction form
    100,379.84/138,519.78 = 60,116/x
  3. Step 3: Cross multiply
    100,379.84x = 138,519.78 × 60,116
  4. Step 4: Simplify right side
    100,379.84x = 8,327,255,094.48
  5. Step 5: Solve for x
    x = 8,327,255,094.48/100,379.84
  6. Step 6: Final answer
    x = 82,957.45

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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.