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Finding the Fourth Proportional to 199,200.47, 298,854.01 and 86,889.81

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Solution

The fourth proportional to 199,200.47, 298,854.01 and 86,889.81 is: 130,357.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,200.47 : 298,854.01 = 86,889.81 : x
  2. Step 2: Convert to fraction form
    199,200.47/298,854.01 = 86,889.81/x
  3. Step 3: Cross multiply
    199,200.47x = 298,854.01 × 86,889.81
  4. Step 4: Simplify right side
    199,200.47x = 25,967,368,887.20
  5. Step 5: Solve for x
    x = 25,967,368,887.20/199,200.47
  6. Step 6: Final answer
    x = 130,357.97

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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.