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Finding the Fourth Proportional to 92,083.38, 137,947.68 and 77,114.58

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Solution

The fourth proportional to 92,083.38, 137,947.68 and 77,114.58 is: 115,523.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,083.38 : 137,947.68 = 77,114.58 : x
  2. Step 2: Convert to fraction form
    92,083.38/137,947.68 = 77,114.58/x
  3. Step 3: Cross multiply
    92,083.38x = 137,947.68 × 77,114.58
  4. Step 4: Simplify right side
    92,083.38x = 10,637,777,405.17
  5. Step 5: Solve for x
    x = 10,637,777,405.17/92,083.38
  6. Step 6: Final answer
    x = 115,523.32

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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.