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Finding the Fourth Proportional to 204,957, 307,487.46 and 57,213

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Solution

The fourth proportional to 204,957, 307,487.46 and 57,213 is: 85,834.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,957 : 307,487.46 = 57,213 : x
  2. Step 2: Convert to fraction form
    204,957/307,487.46 = 57,213/x
  3. Step 3: Cross multiply
    204,957x = 307,487.46 × 57,213
  4. Step 4: Simplify right side
    204,957x = 17,592,280,048.98
  5. Step 5: Solve for x
    x = 17,592,280,048.98/204,957
  6. Step 6: Final answer
    x = 85,834.00

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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.