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Finding the Fourth Proportional to 112,034.44, 167,775 and 83,503

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Solution

The fourth proportional to 112,034.44, 167,775 and 83,503 is: 125,048.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,034.44 : 167,775 = 83,503 : x
  2. Step 2: Convert to fraction form
    112,034.44/167,775 = 83,503/x
  3. Step 3: Cross multiply
    112,034.44x = 167,775 × 83,503
  4. Step 4: Simplify right side
    112,034.44x = 14,009,715,825
  5. Step 5: Solve for x
    x = 14,009,715,825/112,034.44
  6. Step 6: Final answer
    x = 125,048.30

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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.