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Finding the Fourth Proportional to 103,093.97, 141,927.19 and 92,465.15

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Solution

The fourth proportional to 103,093.97, 141,927.19 and 92,465.15 is: 127,294.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,093.97 : 141,927.19 = 92,465.15 : x
  2. Step 2: Convert to fraction form
    103,093.97/141,927.19 = 92,465.15/x
  3. Step 3: Cross multiply
    103,093.97x = 141,927.19 × 92,465.15
  4. Step 4: Simplify right side
    103,093.97x = 13,123,317,971.63
  5. Step 5: Solve for x
    x = 13,123,317,971.63/103,093.97
  6. Step 6: Final answer
    x = 127,294.73

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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.