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Finding the Fourth Proportional to 111,539.36, 167,106.05 and 99,581.93

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Solution

The fourth proportional to 111,539.36, 167,106.05 and 99,581.93 is: 149,191.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,539.36 : 167,106.05 = 99,581.93 : x
  2. Step 2: Convert to fraction form
    111,539.36/167,106.05 = 99,581.93/x
  3. Step 3: Cross multiply
    111,539.36x = 167,106.05 × 99,581.93
  4. Step 4: Simplify right side
    111,539.36x = 16,640,741,640.24
  5. Step 5: Solve for x
    x = 16,640,741,640.24/111,539.36
  6. Step 6: Final answer
    x = 149,191.66

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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.