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Finding the Fourth Proportional to 186,764.73, 280,164.51 and 74,417.73

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Solution

The fourth proportional to 186,764.73, 280,164.51 and 74,417.73 is: 111,633.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,764.73 : 280,164.51 = 74,417.73 : x
  2. Step 2: Convert to fraction form
    186,764.73/280,164.51 = 74,417.73/x
  3. Step 3: Cross multiply
    186,764.73x = 280,164.51 × 74,417.73
  4. Step 4: Simplify right side
    186,764.73x = 20,849,206,860.76
  5. Step 5: Solve for x
    x = 20,849,206,860.76/186,764.73
  6. Step 6: Final answer
    x = 111,633.53

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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.