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Finding the Fourth Proportional to 371,805.11, 513,098.64 and 202,050.17

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Solution

The fourth proportional to 371,805.11, 513,098.64 and 202,050.17 is: 278,833.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,805.11 : 513,098.64 = 202,050.17 : x
  2. Step 2: Convert to fraction form
    371,805.11/513,098.64 = 202,050.17/x
  3. Step 3: Cross multiply
    371,805.11x = 513,098.64 × 202,050.17
  4. Step 4: Simplify right side
    371,805.11x = 103,671,664,873.28
  5. Step 5: Solve for x
    x = 103,671,664,873.28/371,805.11
  6. Step 6: Final answer
    x = 278,833.36

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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.