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Finding the Fourth Proportional to 371,894.84, 513,218.26 and 202,129.38

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Solution

The fourth proportional to 371,894.84, 513,218.26 and 202,129.38 is: 278,940.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,894.84 : 513,218.26 = 202,129.38 : x
  2. Step 2: Convert to fraction form
    371,894.84/513,218.26 = 202,129.38/x
  3. Step 3: Cross multiply
    371,894.84x = 513,218.26 × 202,129.38
  4. Step 4: Simplify right side
    371,894.84x = 103,736,488,698.48
  5. Step 5: Solve for x
    x = 103,736,488,698.48/371,894.84
  6. Step 6: Final answer
    x = 278,940.38

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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.