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Finding the Fourth Proportional to 119,222.91, 164,537.64 and 65,518.65

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Solution

The fourth proportional to 119,222.91, 164,537.64 and 65,518.65 is: 90,421.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,222.91 : 164,537.64 = 65,518.65 : x
  2. Step 2: Convert to fraction form
    119,222.91/164,537.64 = 65,518.65/x
  3. Step 3: Cross multiply
    119,222.91x = 164,537.64 × 65,518.65
  4. Step 4: Simplify right side
    119,222.91x = 10,780,284,046.99
  5. Step 5: Solve for x
    x = 10,780,284,046.99/119,222.91
  6. Step 6: Final answer
    x = 90,421.25

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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.