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Finding the Fourth Proportional to 92,101.29, 138,004.40 and 83,243.94

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Solution

The fourth proportional to 92,101.29, 138,004.40 and 83,243.94 is: 124,732.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,101.29 : 138,004.40 = 83,243.94 : x
  2. Step 2: Convert to fraction form
    92,101.29/138,004.40 = 83,243.94/x
  3. Step 3: Cross multiply
    92,101.29x = 138,004.40 × 83,243.94
  4. Step 4: Simplify right side
    92,101.29x = 11,488,029,577.12
  5. Step 5: Solve for x
    x = 11,488,029,577.12/92,101.29
  6. Step 6: Final answer
    x = 124,732.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.