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Finding the Fourth Proportional to 199,717.38, 275,483.43 and 151,865.82

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Solution

The fourth proportional to 199,717.38, 275,483.43 and 151,865.82 is: 209,478.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,717.38 : 275,483.43 = 151,865.82 : x
  2. Step 2: Convert to fraction form
    199,717.38/275,483.43 = 151,865.82/x
  3. Step 3: Cross multiply
    199,717.38x = 275,483.43 × 151,865.82
  4. Step 4: Simplify right side
    199,717.38x = 41,836,516,993.36
  5. Step 5: Solve for x
    x = 41,836,516,993.36/199,717.38
  6. Step 6: Final answer
    x = 209,478.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.