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Finding the Fourth Proportional to 119,181.65, 164,470.73 and 65,467.58

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Solution

The fourth proportional to 119,181.65, 164,470.73 and 65,467.58 is: 90,345.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,181.65 : 164,470.73 = 65,467.58 : x
  2. Step 2: Convert to fraction form
    119,181.65/164,470.73 = 65,467.58/x
  3. Step 3: Cross multiply
    119,181.65x = 164,470.73 × 65,467.58
  4. Step 4: Simplify right side
    119,181.65x = 10,767,499,524.24
  5. Step 5: Solve for x
    x = 10,767,499,524.24/119,181.65
  6. Step 6: Final answer
    x = 90,345.28

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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.