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Finding the Fourth Proportional to 100,759.78, 139,068.38 and 57,768.15

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Solution

The fourth proportional to 100,759.78, 139,068.38 and 57,768.15 is: 79,731.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,759.78 : 139,068.38 = 57,768.15 : x
  2. Step 2: Convert to fraction form
    100,759.78/139,068.38 = 57,768.15/x
  3. Step 3: Cross multiply
    100,759.78x = 139,068.38 × 57,768.15
  4. Step 4: Simplify right side
    100,759.78x = 8,033,722,747.26
  5. Step 5: Solve for x
    x = 8,033,722,747.26/100,759.78
  6. Step 6: Final answer
    x = 79,731.45

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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.