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Finding the Fourth Proportional to 186,452.86, 279,462.30 and 106,546.83

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Solution

The fourth proportional to 186,452.86, 279,462.30 and 106,546.83 is: 159,696.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,452.86 : 279,462.30 = 106,546.83 : x
  2. Step 2: Convert to fraction form
    186,452.86/279,462.30 = 106,546.83/x
  3. Step 3: Cross multiply
    186,452.86x = 279,462.30 × 106,546.83
  4. Step 4: Simplify right side
    186,452.86x = 29,775,822,169.51
  5. Step 5: Solve for x
    x = 29,775,822,169.51/186,452.86
  6. Step 6: Final answer
    x = 159,696.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.