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Finding the Fourth Proportional to 200,076.88, 300,199.56 and 87,699.10

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Solution

The fourth proportional to 200,076.88, 300,199.56 and 87,699.10 is: 131,585.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,076.88 : 300,199.56 = 87,699.10 : x
  2. Step 2: Convert to fraction form
    200,076.88/300,199.56 = 87,699.10/x
  3. Step 3: Cross multiply
    200,076.88x = 300,199.56 × 87,699.10
  4. Step 4: Simplify right side
    200,076.88x = 26,327,231,232.40
  5. Step 5: Solve for x
    x = 26,327,231,232.40/200,076.88
  6. Step 6: Final answer
    x = 131,585.57

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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.