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Finding the Fourth Proportional to 371,083.92, 512,096.00 and 201,318

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Solution

The fourth proportional to 371,083.92, 512,096.00 and 201,318 is: 277,818.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,083.92 : 512,096.00 = 201,318 : x
  2. Step 2: Convert to fraction form
    371,083.92/512,096.00 = 201,318/x
  3. Step 3: Cross multiply
    371,083.92x = 512,096.00 × 201,318
  4. Step 4: Simplify right side
    371,083.92x = 103,094,141,521.41
  5. Step 5: Solve for x
    x = 103,094,141,521.41/371,083.92
  6. Step 6: Final answer
    x = 277,818.94

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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.