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Finding the Fourth Proportional to 207,312.20, 311,034.04 and 74,189.50

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Solution

The fourth proportional to 207,312.20, 311,034.04 and 74,189.50 is: 111,307.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,312.20 : 311,034.04 = 74,189.50 : x
  2. Step 2: Convert to fraction form
    207,312.20/311,034.04 = 74,189.50/x
  3. Step 3: Cross multiply
    207,312.20x = 311,034.04 × 74,189.50
  4. Step 4: Simplify right side
    207,312.20x = 23,075,459,910.58
  5. Step 5: Solve for x
    x = 23,075,459,910.58/207,312.20
  6. Step 6: Final answer
    x = 111,307.78

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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.