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Finding the Fourth Proportional to 207,967.10, 311,950.65 and 74,851.70

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Solution

The fourth proportional to 207,967.10, 311,950.65 and 74,851.70 is: 112,277.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,967.10 : 311,950.65 = 74,851.70 : x
  2. Step 2: Convert to fraction form
    207,967.10/311,950.65 = 74,851.70/x
  3. Step 3: Cross multiply
    207,967.10x = 311,950.65 × 74,851.70
  4. Step 4: Simplify right side
    207,967.10x = 23,350,036,468.61
  5. Step 5: Solve for x
    x = 23,350,036,468.61/207,967.10
  6. Step 6: Final answer
    x = 112,277.55

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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.