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Finding the Fourth Proportional to 204,358.82, 306,587.44 and 64,117.44

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Solution

The fourth proportional to 204,358.82, 306,587.44 and 64,117.44 is: 96,191.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,358.82 : 306,587.44 = 64,117.44 : x
  2. Step 2: Convert to fraction form
    204,358.82/306,587.44 = 64,117.44/x
  3. Step 3: Cross multiply
    204,358.82x = 306,587.44 × 64,117.44
  4. Step 4: Simplify right side
    204,358.82x = 19,657,601,788.95
  5. Step 5: Solve for x
    x = 19,657,601,788.95/204,358.82
  6. Step 6: Final answer
    x = 96,191.60

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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.