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Finding the Fourth Proportional to 194,744.07, 268,747.62 and 105,320.07

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Solution

The fourth proportional to 194,744.07, 268,747.62 and 105,320.07 is: 145,342.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,744.07 : 268,747.62 = 105,320.07 : x
  2. Step 2: Convert to fraction form
    194,744.07/268,747.62 = 105,320.07/x
  3. Step 3: Cross multiply
    194,744.07x = 268,747.62 × 105,320.07
  4. Step 4: Simplify right side
    194,744.07x = 28,304,518,150.73
  5. Step 5: Solve for x
    x = 28,304,518,150.73/194,744.07
  6. Step 6: Final answer
    x = 145,342.13

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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.