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Finding the Fourth Proportional to 109,205.33, 163,743.35 and 42,567.66

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Solution

The fourth proportional to 109,205.33, 163,743.35 and 42,567.66 is: 63,826.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,205.33 : 163,743.35 = 42,567.66 : x
  2. Step 2: Convert to fraction form
    109,205.33/163,743.35 = 42,567.66/x
  3. Step 3: Cross multiply
    109,205.33x = 163,743.35 × 42,567.66
  4. Step 4: Simplify right side
    109,205.33x = 6,970,171,037.22
  5. Step 5: Solve for x
    x = 6,970,171,037.22/109,205.33
  6. Step 6: Final answer
    x = 63,826.29

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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.