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Finding the Fourth Proportional to 111,794.48, 167,494.87 and 105,135.06

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Solution

The fourth proportional to 111,794.48, 167,494.87 and 105,135.06 is: 157,517.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,794.48 : 167,494.87 = 105,135.06 : x
  2. Step 2: Convert to fraction form
    111,794.48/167,494.87 = 105,135.06/x
  3. Step 3: Cross multiply
    111,794.48x = 167,494.87 × 105,135.06
  4. Step 4: Simplify right side
    111,794.48x = 17,609,583,966.67
  5. Step 5: Solve for x
    x = 17,609,583,966.67/111,794.48
  6. Step 6: Final answer
    x = 157,517.47

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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.