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Finding the Fourth Proportional to 108,511.32, 149,721.34 and 65,497.80

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Solution

The fourth proportional to 108,511.32, 149,721.34 and 65,497.80 is: 90,372.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,511.32 : 149,721.34 = 65,497.80 : x
  2. Step 2: Convert to fraction form
    108,511.32/149,721.34 = 65,497.80/x
  3. Step 3: Cross multiply
    108,511.32x = 149,721.34 × 65,497.80
  4. Step 4: Simplify right side
    108,511.32x = 9,806,418,383.05
  5. Step 5: Solve for x
    x = 9,806,418,383.05/108,511.32
  6. Step 6: Final answer
    x = 90,372.31

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1.5x scale

Why These Related Problems?

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