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Finding the Fourth Proportional to 204,868, 307,353.84 and 57,124

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Solution

The fourth proportional to 204,868, 307,353.84 and 57,124 is: 85,700.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,868 : 307,353.84 = 57,124 : x
  2. Step 2: Convert to fraction form
    204,868/307,353.84 = 57,124/x
  3. Step 3: Cross multiply
    204,868x = 307,353.84 × 57,124
  4. Step 4: Simplify right side
    204,868x = 17,557,280,756.16
  5. Step 5: Solve for x
    x = 17,557,280,756.16/204,868
  6. Step 6: Final answer
    x = 85,700.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.