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Finding the Fourth Proportional to 97,766.30, 146,503.65 and 82,894.70

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Solution

The fourth proportional to 97,766.30, 146,503.65 and 82,894.70 is: 124,218.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,766.30 : 146,503.65 = 82,894.70 : x
  2. Step 2: Convert to fraction form
    97,766.30/146,503.65 = 82,894.70/x
  3. Step 3: Cross multiply
    97,766.30x = 146,503.65 × 82,894.70
  4. Step 4: Simplify right side
    97,766.30x = 12,144,376,115.66
  5. Step 5: Solve for x
    x = 12,144,376,115.66/97,766.30
  6. Step 6: Final answer
    x = 124,218.43

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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.