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Finding the Fourth Proportional to 105,699.29, 158,473.60 and 49,508.57

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Solution

The fourth proportional to 105,699.29, 158,473.60 and 49,508.57 is: 74,227.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,699.29 : 158,473.60 = 49,508.57 : x
  2. Step 2: Convert to fraction form
    105,699.29/158,473.60 = 49,508.57/x
  3. Step 3: Cross multiply
    105,699.29x = 158,473.60 × 49,508.57
  4. Step 4: Simplify right side
    105,699.29x = 7,845,801,591.16
  5. Step 5: Solve for x
    x = 7,845,801,591.16/105,699.29
  6. Step 6: Final answer
    x = 74,227.57

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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.