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Finding the Fourth Proportional to 106,638.24, 147,177.18 and 65,826.18

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Solution

The fourth proportional to 106,638.24, 147,177.18 and 65,826.18 is: 90,850.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,638.24 : 147,177.18 = 65,826.18 : x
  2. Step 2: Convert to fraction form
    106,638.24/147,177.18 = 65,826.18/x
  3. Step 3: Cross multiply
    106,638.24x = 147,177.18 × 65,826.18
  4. Step 4: Simplify right side
    106,638.24x = 9,688,111,542.57
  5. Step 5: Solve for x
    x = 9,688,111,542.57/106,638.24
  6. Step 6: Final answer
    x = 90,850.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.