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Finding the Fourth Proportional to 111,506.77, 167,023.22 and 75,505.10

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Solution

The fourth proportional to 111,506.77, 167,023.22 and 75,505.10 is: 113,097.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,506.77 : 167,023.22 = 75,505.10 : x
  2. Step 2: Convert to fraction form
    111,506.77/167,023.22 = 75,505.10/x
  3. Step 3: Cross multiply
    111,506.77x = 167,023.22 × 75,505.10
  4. Step 4: Simplify right side
    111,506.77x = 12,611,105,534.74
  5. Step 5: Solve for x
    x = 12,611,105,534.74/111,506.77
  6. Step 6: Final answer
    x = 113,097.22

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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.