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Finding the Fourth Proportional to 202,970.80, 284,781.20 and 202,970.80

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Solution

The fourth proportional to 202,970.80, 284,781.20 and 202,970.80 is: 284,781.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,970.80 : 284,781.20 = 202,970.80 : x
  2. Step 2: Convert to fraction form
    202,970.80/284,781.20 = 202,970.80/x
  3. Step 3: Cross multiply
    202,970.80x = 284,781.20 × 202,970.80
  4. Step 4: Simplify right side
    202,970.80x = 57,802,267,988.96
  5. Step 5: Solve for x
    x = 57,802,267,988.96/202,970.80
  6. Step 6: Final answer
    x = 284,781.20

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