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Finding the Fourth Proportional to 97,689.80, 146,145.90 and 84,686.60

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Solution

The fourth proportional to 97,689.80, 146,145.90 and 84,686.60 is: 126,692.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,689.80 : 146,145.90 = 84,686.60 : x
  2. Step 2: Convert to fraction form
    97,689.80/146,145.90 = 84,686.60/x
  3. Step 3: Cross multiply
    97,689.80x = 146,145.90 × 84,686.60
  4. Step 4: Simplify right side
    97,689.80x = 12,376,599,374.94
  5. Step 5: Solve for x
    x = 12,376,599,374.94/97,689.80
  6. Step 6: Final answer
    x = 126,692.85

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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.