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Finding the Fourth Proportional to 160,874.97, 222,033.98 and 89,278.08

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Solution

The fourth proportional to 160,874.97, 222,033.98 and 89,278.08 is: 123,218.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,874.97 : 222,033.98 = 89,278.08 : x
  2. Step 2: Convert to fraction form
    160,874.97/222,033.98 = 89,278.08/x
  3. Step 3: Cross multiply
    160,874.97x = 222,033.98 × 89,278.08
  4. Step 4: Simplify right side
    160,874.97x = 19,822,767,429.16
  5. Step 5: Solve for x
    x = 19,822,767,429.16/160,874.97
  6. Step 6: Final answer
    x = 123,218.47

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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.