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Finding the Fourth Proportional to 802,153.69, 1,203,233.24 and 203,114.57

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Solution

The fourth proportional to 802,153.69, 1,203,233.24 and 203,114.57 is: 304,672.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,153.69 : 1,203,233.24 = 203,114.57 : x
  2. Step 2: Convert to fraction form
    802,153.69/1,203,233.24 = 203,114.57/x
  3. Step 3: Cross multiply
    802,153.69x = 1,203,233.24 × 203,114.57
  4. Step 4: Simplify right side
    802,153.69x = 244,394,196,643.93
  5. Step 5: Solve for x
    x = 244,394,196,643.93/802,153.69
  6. Step 6: Final answer
    x = 304,672.53

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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.