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Finding the Fourth Proportional to 111,830.22, 154,382.85 and 86,279.22

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Solution

The fourth proportional to 111,830.22, 154,382.85 and 86,279.22 is: 119,109.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,830.22 : 154,382.85 = 86,279.22 : x
  2. Step 2: Convert to fraction form
    111,830.22/154,382.85 = 86,279.22/x
  3. Step 3: Cross multiply
    111,830.22x = 154,382.85 × 86,279.22
  4. Step 4: Simplify right side
    111,830.22x = 13,320,031,879.38
  5. Step 5: Solve for x
    x = 13,320,031,879.38/111,830.22
  6. Step 6: Final answer
    x = 119,109.41

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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.