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Finding the Fourth Proportional to 199,887.49, 299,787.07 and 57,701.87

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Solution

The fourth proportional to 199,887.49, 299,787.07 and 57,701.87 is: 86,540.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,887.49 : 299,787.07 = 57,701.87 : x
  2. Step 2: Convert to fraction form
    199,887.49/299,787.07 = 57,701.87/x
  3. Step 3: Cross multiply
    199,887.49x = 299,787.07 × 57,701.87
  4. Step 4: Simplify right side
    199,887.49x = 17,298,274,540.82
  5. Step 5: Solve for x
    x = 17,298,274,540.82/199,887.49
  6. Step 6: Final answer
    x = 86,540.06

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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.