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Finding the Fourth Proportional to 199,875.88, 299,896.85 and 87,498.25

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Solution

The fourth proportional to 199,875.88, 299,896.85 and 87,498.25 is: 131,283.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,875.88 : 299,896.85 = 87,498.25 : x
  2. Step 2: Convert to fraction form
    199,875.88/299,896.85 = 87,498.25/x
  3. Step 3: Cross multiply
    199,875.88x = 299,896.85 × 87,498.25
  4. Step 4: Simplify right side
    199,875.88x = 26,240,447,618.54
  5. Step 5: Solve for x
    x = 26,240,447,618.54/199,875.88
  6. Step 6: Final answer
    x = 131,283.72

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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.