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Finding the Fourth Proportional to 98,314.38, 135,658.11 and 55,293.75

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Solution

The fourth proportional to 98,314.38, 135,658.11 and 55,293.75 is: 76,296.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,314.38 : 135,658.11 = 55,293.75 : x
  2. Step 2: Convert to fraction form
    98,314.38/135,658.11 = 55,293.75/x
  3. Step 3: Cross multiply
    98,314.38x = 135,658.11 × 55,293.75
  4. Step 4: Simplify right side
    98,314.38x = 7,501,045,619.81
  5. Step 5: Solve for x
    x = 7,501,045,619.81/98,314.38
  6. Step 6: Final answer
    x = 76,296.53

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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.