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Finding the Fourth Proportional to 109,307.36, 163,961.08 and 84,383.80

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Solution

The fourth proportional to 109,307.36, 163,961.08 and 84,383.80 is: 126,575.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,307.36 : 163,961.08 = 84,383.80 : x
  2. Step 2: Convert to fraction form
    109,307.36/163,961.08 = 84,383.80/x
  3. Step 3: Cross multiply
    109,307.36x = 163,961.08 × 84,383.80
  4. Step 4: Simplify right side
    109,307.36x = 13,835,658,982.50
  5. Step 5: Solve for x
    x = 13,835,658,982.50/109,307.36
  6. Step 6: Final answer
    x = 126,575.73

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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.