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Finding the Fourth Proportional to 111,540.36, 167,107.54 and 99,582.93

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Solution

The fourth proportional to 111,540.36, 167,107.54 and 99,582.93 is: 149,193.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,540.36 : 167,107.54 = 99,582.93 : x
  2. Step 2: Convert to fraction form
    111,540.36/167,107.54 = 99,582.93/x
  3. Step 3: Cross multiply
    111,540.36x = 167,107.54 × 99,582.93
  4. Step 4: Simplify right side
    111,540.36x = 16,641,058,458.29
  5. Step 5: Solve for x
    x = 16,641,058,458.29/111,540.36
  6. Step 6: Final answer
    x = 149,193.16

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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.