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Finding the Fourth Proportional to 262,042.69, 361,616.71 and 147,321.84

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Solution

The fourth proportional to 262,042.69, 361,616.71 and 147,321.84 is: 203,302.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,042.69 : 361,616.71 = 147,321.84 : x
  2. Step 2: Convert to fraction form
    262,042.69/361,616.71 = 147,321.84/x
  3. Step 3: Cross multiply
    262,042.69x = 361,616.71 × 147,321.84
  4. Step 4: Simplify right side
    262,042.69x = 53,274,039,091.95
  5. Step 5: Solve for x
    x = 53,274,039,091.95/262,042.69
  6. Step 6: Final answer
    x = 203,302.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.