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Finding the Fourth Proportional to 195,718.98, 270,093.22 and 109,678.16

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Solution

The fourth proportional to 195,718.98, 270,093.22 and 109,678.16 is: 151,356.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,718.98 : 270,093.22 = 109,678.16 : x
  2. Step 2: Convert to fraction form
    195,718.98/270,093.22 = 109,678.16/x
  3. Step 3: Cross multiply
    195,718.98x = 270,093.22 × 109,678.16
  4. Step 4: Simplify right side
    195,718.98x = 29,623,327,398.08
  5. Step 5: Solve for x
    x = 29,623,327,398.08/195,718.98
  6. Step 6: Final answer
    x = 151,356.44

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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.