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Finding the Fourth Proportional to 186,564.90, 279,764.79 and 53,414.82

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Solution

The fourth proportional to 186,564.90, 279,764.79 and 53,414.82 is: 80,098.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,564.90 : 279,764.79 = 53,414.82 : x
  2. Step 2: Convert to fraction form
    186,564.90/279,764.79 = 53,414.82/x
  3. Step 3: Cross multiply
    186,564.90x = 279,764.79 × 53,414.82
  4. Step 4: Simplify right side
    186,564.90x = 14,943,585,900.19
  5. Step 5: Solve for x
    x = 14,943,585,900.19/186,564.90
  6. Step 6: Final answer
    x = 80,098.59

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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.