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Finding the Fourth Proportional to 138,959.33, 191,689.92 and 84,528.14

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Solution

The fourth proportional to 138,959.33, 191,689.92 and 84,528.14 is: 116,603.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,959.33 : 191,689.92 = 84,528.14 : x
  2. Step 2: Convert to fraction form
    138,959.33/191,689.92 = 84,528.14/x
  3. Step 3: Cross multiply
    138,959.33x = 191,689.92 × 84,528.14
  4. Step 4: Simplify right side
    138,959.33x = 16,203,191,013.26
  5. Step 5: Solve for x
    x = 16,203,191,013.26/138,959.33
  6. Step 6: Final answer
    x = 116,603.84

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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.