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Finding the Fourth Proportional to 195,261, 269,460.36 and 105,837

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Solution

The fourth proportional to 195,261, 269,460.36 and 105,837 is: 146,055.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,261 : 269,460.36 = 105,837 : x
  2. Step 2: Convert to fraction form
    195,261/269,460.36 = 105,837/x
  3. Step 3: Cross multiply
    195,261x = 269,460.36 × 105,837
  4. Step 4: Simplify right side
    195,261x = 28,518,876,121.32
  5. Step 5: Solve for x
    x = 28,518,876,121.32/195,261
  6. Step 6: Final answer
    x = 146,055.16

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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.