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Finding the Fourth Proportional to 97,603.52, 146,306.87 and 74,180.75

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Solution

The fourth proportional to 97,603.52, 146,306.87 and 74,180.75 is: 111,196.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,603.52 : 146,306.87 = 74,180.75 : x
  2. Step 2: Convert to fraction form
    97,603.52/146,306.87 = 74,180.75/x
  3. Step 3: Cross multiply
    97,603.52x = 146,306.87 × 74,180.75
  4. Step 4: Simplify right side
    97,603.52x = 10,853,152,975.85
  5. Step 5: Solve for x
    x = 10,853,152,975.85/97,603.52
  6. Step 6: Final answer
    x = 111,196.33

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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.