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Finding the Fourth Proportional to 192,065.96, 265,019.28 and 107,182.80

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Solution

The fourth proportional to 192,065.96, 265,019.28 and 107,182.80 is: 147,894.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,065.96 : 265,019.28 = 107,182.80 : x
  2. Step 2: Convert to fraction form
    192,065.96/265,019.28 = 107,182.80/x
  3. Step 3: Cross multiply
    192,065.96x = 265,019.28 × 107,182.80
  4. Step 4: Simplify right side
    192,065.96x = 28,405,508,484.38
  5. Step 5: Solve for x
    x = 28,405,508,484.38/192,065.96
  6. Step 6: Final answer
    x = 147,894.55

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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.