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Finding the Fourth Proportional to 371,083.68, 512,093.34 and 201,314.16

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Solution

The fourth proportional to 371,083.68, 512,093.34 and 201,314.16 is: 277,812.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,083.68 : 512,093.34 = 201,314.16 : x
  2. Step 2: Convert to fraction form
    371,083.68/512,093.34 = 201,314.16/x
  3. Step 3: Cross multiply
    371,083.68x = 512,093.34 × 201,314.16
  4. Step 4: Simplify right side
    371,083.68x = 103,091,640,583.69
  5. Step 5: Solve for x
    x = 103,091,640,583.69/371,083.68
  6. Step 6: Final answer
    x = 277,812.38

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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.