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Finding the Fourth Proportional to 119,267.31, 164,590.16 and 64,819.47

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Solution

The fourth proportional to 119,267.31, 164,590.16 and 64,819.47 is: 89,451.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,267.31 : 164,590.16 = 64,819.47 : x
  2. Step 2: Convert to fraction form
    119,267.31/164,590.16 = 64,819.47/x
  3. Step 3: Cross multiply
    119,267.31x = 164,590.16 × 64,819.47
  4. Step 4: Simplify right side
    119,267.31x = 10,668,647,009.68
  5. Step 5: Solve for x
    x = 10,668,647,009.68/119,267.31
  6. Step 6: Final answer
    x = 89,451.56

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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.