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Finding the Fourth Proportional to 371,087.68, 512,098.86 and 201,318.16

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Solution

The fourth proportional to 371,087.68, 512,098.86 and 201,318.16 is: 277,817.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,087.68 : 512,098.86 = 201,318.16 : x
  2. Step 2: Convert to fraction form
    371,087.68/512,098.86 = 201,318.16/x
  3. Step 3: Cross multiply
    371,087.68x = 512,098.86 × 201,318.16
  4. Step 4: Simplify right side
    371,087.68x = 103,094,800,233.30
  5. Step 5: Solve for x
    x = 103,094,800,233.30/371,087.68
  6. Step 6: Final answer
    x = 277,817.90

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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.