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Finding the Fourth Proportional to 160,872.65, 222,010.19 and 97,198.15

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Solution

The fourth proportional to 160,872.65, 222,010.19 and 97,198.15 is: 134,137.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,872.65 : 222,010.19 = 97,198.15 : x
  2. Step 2: Convert to fraction form
    160,872.65/222,010.19 = 97,198.15/x
  3. Step 3: Cross multiply
    160,872.65x = 222,010.19 × 97,198.15
  4. Step 4: Simplify right side
    160,872.65x = 21,578,979,749.15
  5. Step 5: Solve for x
    x = 21,578,979,749.15/160,872.65
  6. Step 6: Final answer
    x = 134,137.03

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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.