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Finding the Fourth Proportional to 195,066, 269,191.08 and 105,642

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Solution

The fourth proportional to 195,066, 269,191.08 and 105,642 is: 145,785.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,066 : 269,191.08 = 105,642 : x
  2. Step 2: Convert to fraction form
    195,066/269,191.08 = 105,642/x
  3. Step 3: Cross multiply
    195,066x = 269,191.08 × 105,642
  4. Step 4: Simplify right side
    195,066x = 28,437,884,073.36
  5. Step 5: Solve for x
    x = 28,437,884,073.36/195,066
  6. Step 6: Final answer
    x = 145,785.96

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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.