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Finding the Fourth Proportional to 195,356, 269,591.28 and 105,932

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Solution

The fourth proportional to 195,356, 269,591.28 and 105,932 is: 146,186.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,356 : 269,591.28 = 105,932 : x
  2. Step 2: Convert to fraction form
    195,356/269,591.28 = 105,932/x
  3. Step 3: Cross multiply
    195,356x = 269,591.28 × 105,932
  4. Step 4: Simplify right side
    195,356x = 28,558,343,472.96
  5. Step 5: Solve for x
    x = 28,558,343,472.96/195,356
  6. Step 6: Final answer
    x = 146,186.16

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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.