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Finding the Fourth Proportional to 160,894.80, 222,048.20 and 89,298

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Solution

The fourth proportional to 160,894.80, 222,048.20 and 89,298 is: 123,238.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,894.80 : 222,048.20 = 89,298 : x
  2. Step 2: Convert to fraction form
    160,894.80/222,048.20 = 89,298/x
  3. Step 3: Cross multiply
    160,894.80x = 222,048.20 × 89,298
  4. Step 4: Simplify right side
    160,894.80x = 19,828,460,163.60
  5. Step 5: Solve for x
    x = 19,828,460,163.60/160,894.80
  6. Step 6: Final answer
    x = 123,238.66

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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.