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Finding the Fourth Proportional to 202,981.10, 284,640.10 and 202,981.10

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Solution

The fourth proportional to 202,981.10, 284,640.10 and 202,981.10 is: 284,640.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,981.10 : 284,640.10 = 202,981.10 : x
  2. Step 2: Convert to fraction form
    202,981.10/284,640.10 = 202,981.10/x
  3. Step 3: Cross multiply
    202,981.10x = 284,640.10 × 202,981.10
  4. Step 4: Simplify right side
    202,981.10x = 57,776,560,602.11
  5. Step 5: Solve for x
    x = 57,776,560,602.11/202,981.10
  6. Step 6: Final answer
    x = 284,640.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.