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Finding the Fourth Proportional to 109,668.65, 164,564.46 and 59,752.22

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Solution

The fourth proportional to 109,668.65, 164,564.46 and 59,752.22 is: 89,661.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,668.65 : 164,564.46 = 59,752.22 : x
  2. Step 2: Convert to fraction form
    109,668.65/164,564.46 = 59,752.22/x
  3. Step 3: Cross multiply
    109,668.65x = 164,564.46 × 59,752.22
  4. Step 4: Simplify right side
    109,668.65x = 9,833,090,995.28
  5. Step 5: Solve for x
    x = 9,833,090,995.28/109,668.65
  6. Step 6: Final answer
    x = 89,661.83

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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.