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Finding the Fourth Proportional to 111,189.47, 166,821.11 and 36,312.06

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Solution

The fourth proportional to 111,189.47, 166,821.11 and 36,312.06 is: 54,480.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,189.47 : 166,821.11 = 36,312.06 : x
  2. Step 2: Convert to fraction form
    111,189.47/166,821.11 = 36,312.06/x
  3. Step 3: Cross multiply
    111,189.47x = 166,821.11 × 36,312.06
  4. Step 4: Simplify right side
    111,189.47x = 6,057,617,230.70
  5. Step 5: Solve for x
    x = 6,057,617,230.70/111,189.47
  6. Step 6: Final answer
    x = 54,480.14

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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.