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Finding the Fourth Proportional to 109,267.16, 163,928.91 and 59,334.44

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Solution

The fourth proportional to 109,267.16, 163,928.91 and 59,334.44 is: 89,016.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,267.16 : 163,928.91 = 59,334.44 : x
  2. Step 2: Convert to fraction form
    109,267.16/163,928.91 = 59,334.44/x
  3. Step 3: Cross multiply
    109,267.16x = 163,928.91 × 59,334.44
  4. Step 4: Simplify right side
    109,267.16x = 9,726,630,074.66
  5. Step 5: Solve for x
    x = 9,726,630,074.66/109,267.16
  6. Step 6: Final answer
    x = 89,016.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.