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Finding the Fourth Proportional to 97,431.80, 146,147.70 and 88,830.20

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Solution

The fourth proportional to 97,431.80, 146,147.70 and 88,830.20 is: 133,245.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,431.80 : 146,147.70 = 88,830.20 : x
  2. Step 2: Convert to fraction form
    97,431.80/146,147.70 = 88,830.20/x
  3. Step 3: Cross multiply
    97,431.80x = 146,147.70 × 88,830.20
  4. Step 4: Simplify right side
    97,431.80x = 12,982,329,420.54
  5. Step 5: Solve for x
    x = 12,982,329,420.54/97,431.80
  6. Step 6: Final answer
    x = 133,245.30

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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.