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Finding the Fourth Proportional to 195,848, 270,293.28 and 116,360

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Solution

The fourth proportional to 195,848, 270,293.28 and 116,360 is: 160,590.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,848 : 270,293.28 = 116,360 : x
  2. Step 2: Convert to fraction form
    195,848/270,293.28 = 116,360/x
  3. Step 3: Cross multiply
    195,848x = 270,293.28 × 116,360
  4. Step 4: Simplify right side
    195,848x = 31,451,326,060.80
  5. Step 5: Solve for x
    x = 31,451,326,060.80/195,848
  6. Step 6: Final answer
    x = 160,590.49

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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.