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Finding the Fourth Proportional to 100,681.82, 138,969.78 and 66,695.84

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Solution

The fourth proportional to 100,681.82, 138,969.78 and 66,695.84 is: 92,059.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,681.82 : 138,969.78 = 66,695.84 : x
  2. Step 2: Convert to fraction form
    100,681.82/138,969.78 = 66,695.84/x
  3. Step 3: Cross multiply
    100,681.82x = 138,969.78 × 66,695.84
  4. Step 4: Simplify right side
    100,681.82x = 9,268,706,211.72
  5. Step 5: Solve for x
    x = 9,268,706,211.72/100,681.82
  6. Step 6: Final answer
    x = 92,059.38

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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.