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Finding the Fourth Proportional to 195,364, 269,602.32 and 105,940

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Solution

The fourth proportional to 195,364, 269,602.32 and 105,940 is: 146,197.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,364 : 269,602.32 = 105,940 : x
  2. Step 2: Convert to fraction form
    195,364/269,602.32 = 105,940/x
  3. Step 3: Cross multiply
    195,364x = 269,602.32 × 105,940
  4. Step 4: Simplify right side
    195,364x = 28,561,669,780.80
  5. Step 5: Solve for x
    x = 28,561,669,780.80/195,364
  6. Step 6: Final answer
    x = 146,197.20

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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.