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Finding the Fourth Proportional to 202,981.30, 284,795.90 and 202,981.30

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Solution

The fourth proportional to 202,981.30, 284,795.90 and 202,981.30 is: 284,795.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,981.30 : 284,795.90 = 202,981.30 : x
  2. Step 2: Convert to fraction form
    202,981.30/284,795.90 = 202,981.30/x
  3. Step 3: Cross multiply
    202,981.30x = 284,795.90 × 202,981.30
  4. Step 4: Simplify right side
    202,981.30x = 57,808,242,016.67
  5. Step 5: Solve for x
    x = 57,808,242,016.67/202,981.30
  6. Step 6: Final answer
    x = 284,795.90

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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.