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Finding the Fourth Proportional to 97,197.70, 145,774.67 and 34,868.20

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Solution

The fourth proportional to 97,197.70, 145,774.67 and 34,868.20 is: 52,294.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,197.70 : 145,774.67 = 34,868.20 : x
  2. Step 2: Convert to fraction form
    97,197.70/145,774.67 = 34,868.20/x
  3. Step 3: Cross multiply
    97,197.70x = 145,774.67 × 34,868.20
  4. Step 4: Simplify right side
    97,197.70x = 5,082,900,348.49
  5. Step 5: Solve for x
    x = 5,082,900,348.49/97,197.70
  6. Step 6: Final answer
    x = 52,294.45

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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.