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Finding the Fourth Proportional to 207,382.70, 311,402.10 and 157,519.10

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Solution

The fourth proportional to 207,382.70, 311,402.10 and 157,519.10 is: 236,527.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,382.70 : 311,402.10 = 157,519.10 : x
  2. Step 2: Convert to fraction form
    207,382.70/311,402.10 = 157,519.10/x
  3. Step 3: Cross multiply
    207,382.70x = 311,402.10 × 157,519.10
  4. Step 4: Simplify right side
    207,382.70x = 49,051,778,530.11
  5. Step 5: Solve for x
    x = 49,051,778,530.11/207,382.70
  6. Step 6: Final answer
    x = 236,527.82

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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.