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Finding the Fourth Proportional to 371,910.84, 513,215.16 and 202,143.48

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Solution

The fourth proportional to 371,910.84, 513,215.16 and 202,143.48 is: 278,946.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,910.84 : 513,215.16 = 202,143.48 : x
  2. Step 2: Convert to fraction form
    371,910.84/513,215.16 = 202,143.48/x
  3. Step 3: Cross multiply
    371,910.84x = 513,215.16 × 202,143.48
  4. Step 4: Simplify right side
    371,910.84x = 103,743,098,431.16
  5. Step 5: Solve for x
    x = 103,743,098,431.16/371,910.84
  6. Step 6: Final answer
    x = 278,946.15

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