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Finding the Fourth Proportional to 282,152.88, 389,370.77 and 161,296.83

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Solution

The fourth proportional to 282,152.88, 389,370.77 and 161,296.83 is: 222,589.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,152.88 : 389,370.77 = 161,296.83 : x
  2. Step 2: Convert to fraction form
    282,152.88/389,370.77 = 161,296.83/x
  3. Step 3: Cross multiply
    282,152.88x = 389,370.77 × 161,296.83
  4. Step 4: Simplify right side
    282,152.88x = 62,804,270,089.18
  5. Step 5: Solve for x
    x = 62,804,270,089.18/282,152.88
  6. Step 6: Final answer
    x = 222,589.51

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1.5x scale

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.