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Finding the Fourth Proportional to 202,728.74, 304,142.70 and 142,874.00

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Solution

The fourth proportional to 202,728.74, 304,142.70 and 142,874.00 is: 214,345.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,728.74 : 304,142.70 = 142,874.00 : x
  2. Step 2: Convert to fraction form
    202,728.74/304,142.70 = 142,874.00/x
  3. Step 3: Cross multiply
    202,728.74x = 304,142.70 × 142,874.00
  4. Step 4: Simplify right side
    202,728.74x = 43,454,085,415.93
  5. Step 5: Solve for x
    x = 43,454,085,415.93/202,728.74
  6. Step 6: Final answer
    x = 214,345.95

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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.