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Finding the Fourth Proportional to 192,248.69, 265,297.68 and 106,206.30

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Solution

The fourth proportional to 192,248.69, 265,297.68 and 106,206.30 is: 146,561.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,248.69 : 265,297.68 = 106,206.30 : x
  2. Step 2: Convert to fraction form
    192,248.69/265,297.68 = 106,206.30/x
  3. Step 3: Cross multiply
    192,248.69x = 265,297.68 × 106,206.30
  4. Step 4: Simplify right side
    192,248.69x = 28,176,284,991.38
  5. Step 5: Solve for x
    x = 28,176,284,991.38/192,248.69
  6. Step 6: Final answer
    x = 146,561.65

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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.