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Finding the Fourth Proportional to 207,692.60, 311,522.70 and 81,308.30

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Solution

The fourth proportional to 207,692.60, 311,522.70 and 81,308.30 is: 121,956.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,692.60 : 311,522.70 = 81,308.30 : x
  2. Step 2: Convert to fraction form
    207,692.60/311,522.70 = 81,308.30/x
  3. Step 3: Cross multiply
    207,692.60x = 311,522.70 × 81,308.30
  4. Step 4: Simplify right side
    207,692.60x = 25,329,381,148.41
  5. Step 5: Solve for x
    x = 25,329,381,148.41/207,692.60
  6. Step 6: Final answer
    x = 121,956.11

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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.