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Finding the Fourth Proportional to 207,532.46, 310,815.98 and 200,340.70

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Solution

The fourth proportional to 207,532.46, 310,815.98 and 200,340.70 is: 300,045.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,532.46 : 310,815.98 = 200,340.70 : x
  2. Step 2: Convert to fraction form
    207,532.46/310,815.98 = 200,340.70/x
  3. Step 3: Cross multiply
    207,532.46x = 310,815.98 × 200,340.70
  4. Step 4: Simplify right side
    207,532.46x = 62,269,093,289.26
  5. Step 5: Solve for x
    x = 62,269,093,289.26/207,532.46
  6. Step 6: Final answer
    x = 300,045.08

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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.