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Finding the Fourth Proportional to 108,200.64, 149,317.62 and 60,456

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Solution

The fourth proportional to 108,200.64, 149,317.62 and 60,456 is: 83,429.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,200.64 : 149,317.62 = 60,456 : x
  2. Step 2: Convert to fraction form
    108,200.64/149,317.62 = 60,456/x
  3. Step 3: Cross multiply
    108,200.64x = 149,317.62 × 60,456
  4. Step 4: Simplify right side
    108,200.64x = 9,027,146,034.72
  5. Step 5: Solve for x
    x = 9,027,146,034.72/108,200.64
  6. Step 6: Final answer
    x = 83,429.69

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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.