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Finding the Fourth Proportional to 97,598.52, 146,299.37 and 74,175.75

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Solution

The fourth proportional to 97,598.52, 146,299.37 and 74,175.75 is: 111,188.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,598.52 : 146,299.37 = 74,175.75 : x
  2. Step 2: Convert to fraction form
    97,598.52/146,299.37 = 74,175.75/x
  3. Step 3: Cross multiply
    97,598.52x = 146,299.37 × 74,175.75
  4. Step 4: Simplify right side
    97,598.52x = 10,851,865,123.40
  5. Step 5: Solve for x
    x = 10,851,865,123.40/97,598.52
  6. Step 6: Final answer
    x = 111,188.83

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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.