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Finding the Fourth Proportional to 100,991.38, 139,316.82 and 77,076.52

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Solution

The fourth proportional to 100,991.38, 139,316.82 and 77,076.52 is: 106,326.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,991.38 : 139,316.82 = 77,076.52 : x
  2. Step 2: Convert to fraction form
    100,991.38/139,316.82 = 77,076.52/x
  3. Step 3: Cross multiply
    100,991.38x = 139,316.82 × 77,076.52
  4. Step 4: Simplify right side
    100,991.38x = 10,738,055,663.07
  5. Step 5: Solve for x
    x = 10,738,055,663.07/100,991.38
  6. Step 6: Final answer
    x = 106,326.46

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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.