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Finding the Fourth Proportional to 282,572.94, 389,958.97 and 161,753.04

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Solution

The fourth proportional to 282,572.94, 389,958.97 and 161,753.04 is: 223,223.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,572.94 : 389,958.97 = 161,753.04 : x
  2. Step 2: Convert to fraction form
    282,572.94/389,958.97 = 161,753.04/x
  3. Step 3: Cross multiply
    282,572.94x = 389,958.97 × 161,753.04
  4. Step 4: Simplify right side
    282,572.94x = 63,077,048,872.77
  5. Step 5: Solve for x
    x = 63,077,048,872.77/282,572.94
  6. Step 6: Final answer
    x = 223,223.95

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Why These Related Problems?

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