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Finding the Fourth Proportional to 152,773.25, 229,166.09 and 72,770.09

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Solution

The fourth proportional to 152,773.25, 229,166.09 and 72,770.09 is: 109,158.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,773.25 : 229,166.09 = 72,770.09 : x
  2. Step 2: Convert to fraction form
    152,773.25/229,166.09 = 72,770.09/x
  3. Step 3: Cross multiply
    152,773.25x = 229,166.09 × 72,770.09
  4. Step 4: Simplify right side
    152,773.25x = 16,676,436,630.40
  5. Step 5: Solve for x
    x = 16,676,436,630.40/152,773.25
  6. Step 6: Final answer
    x = 109,158.09

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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.