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Finding the Fourth Proportional to 200,247.66, 300,342.33 and 75,559.50

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Solution

The fourth proportional to 200,247.66, 300,342.33 and 75,559.50 is: 113,328.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,247.66 : 300,342.33 = 75,559.50 : x
  2. Step 2: Convert to fraction form
    200,247.66/300,342.33 = 75,559.50/x
  3. Step 3: Cross multiply
    200,247.66x = 300,342.33 × 75,559.50
  4. Step 4: Simplify right side
    200,247.66x = 22,693,716,283.64
  5. Step 5: Solve for x
    x = 22,693,716,283.64/200,247.66
  6. Step 6: Final answer
    x = 113,328.25

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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.