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Finding the Fourth Proportional to 108,150.24, 149,221.80 and 65,706.24

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Solution

The fourth proportional to 108,150.24, 149,221.80 and 65,706.24 is: 90,659.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,150.24 : 149,221.80 = 65,706.24 : x
  2. Step 2: Convert to fraction form
    108,150.24/149,221.80 = 65,706.24/x
  3. Step 3: Cross multiply
    108,150.24x = 149,221.80 × 65,706.24
  4. Step 4: Simplify right side
    108,150.24x = 9,804,803,404.03
  5. Step 5: Solve for x
    x = 9,804,803,404.03/108,150.24
  6. Step 6: Final answer
    x = 90,659.10

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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.