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Finding the Fourth Proportional to 202,842.40, 304,234.80 and 69,728.80

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Solution

The fourth proportional to 202,842.40, 304,234.80 and 69,728.80 is: 104,583.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,842.40 : 304,234.80 = 69,728.80 : x
  2. Step 2: Convert to fraction form
    202,842.40/304,234.80 = 69,728.80/x
  3. Step 3: Cross multiply
    202,842.40x = 304,234.80 × 69,728.80
  4. Step 4: Simplify right side
    202,842.40x = 21,213,927,522.24
  5. Step 5: Solve for x
    x = 21,213,927,522.24/202,842.40
  6. Step 6: Final answer
    x = 104,583.30

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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.