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Finding the Fourth Proportional to 112,264.50, 167,885.22 and 83,821.38

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Solution

The fourth proportional to 112,264.50, 167,885.22 and 83,821.38 is: 125,350.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,264.50 : 167,885.22 = 83,821.38 : x
  2. Step 2: Convert to fraction form
    112,264.50/167,885.22 = 83,821.38/x
  3. Step 3: Cross multiply
    112,264.50x = 167,885.22 × 83,821.38
  4. Step 4: Simplify right side
    112,264.50x = 14,072,370,822.00
  5. Step 5: Solve for x
    x = 14,072,370,822.00/112,264.50
  6. Step 6: Final answer
    x = 125,350.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.