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Finding the Fourth Proportional to 149,040.38, 205,679.32 and 85,398.14

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Solution

The fourth proportional to 149,040.38, 205,679.32 and 85,398.14 is: 117,851.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,040.38 : 205,679.32 = 85,398.14 : x
  2. Step 2: Convert to fraction form
    149,040.38/205,679.32 = 85,398.14/x
  3. Step 3: Cross multiply
    149,040.38x = 205,679.32 × 85,398.14
  4. Step 4: Simplify right side
    149,040.38x = 17,564,631,364.46
  5. Step 5: Solve for x
    x = 17,564,631,364.46/149,040.38
  6. Step 6: Final answer
    x = 117,851.49

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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.