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Finding the Fourth Proportional to 119,788, 165,308.22 and 66,074.47

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Solution

The fourth proportional to 119,788, 165,308.22 and 66,074.47 is: 91,183.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,788 : 165,308.22 = 66,074.47 : x
  2. Step 2: Convert to fraction form
    119,788/165,308.22 = 66,074.47/x
  3. Step 3: Cross multiply
    119,788x = 165,308.22 × 66,074.47
  4. Step 4: Simplify right side
    119,788x = 10,922,653,023.14
  5. Step 5: Solve for x
    x = 10,922,653,023.14/119,788
  6. Step 6: Final answer
    x = 91,183.20

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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.