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Finding the Fourth Proportional to 200,839.32, 301,266.82 and 60,597.96

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Solution

The fourth proportional to 200,839.32, 301,266.82 and 60,597.96 is: 90,899.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,839.32 : 301,266.82 = 60,597.96 : x
  2. Step 2: Convert to fraction form
    200,839.32/301,266.82 = 60,597.96/x
  3. Step 3: Cross multiply
    200,839.32x = 301,266.82 × 60,597.96
  4. Step 4: Simplify right side
    200,839.32x = 18,256,154,707.69
  5. Step 5: Solve for x
    x = 18,256,154,707.69/200,839.32
  6. Step 6: Final answer
    x = 90,899.31

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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.