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Finding the Fourth Proportional to 202,851.20, 304,276.80 and 103,026.80

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Solution

The fourth proportional to 202,851.20, 304,276.80 and 103,026.80 is: 154,540.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,851.20 : 304,276.80 = 103,026.80 : x
  2. Step 2: Convert to fraction form
    202,851.20/304,276.80 = 103,026.80/x
  3. Step 3: Cross multiply
    202,851.20x = 304,276.80 × 103,026.80
  4. Step 4: Simplify right side
    202,851.20x = 31,348,665,018.24
  5. Step 5: Solve for x
    x = 31,348,665,018.24/202,851.20
  6. Step 6: Final answer
    x = 154,540.20

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