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Finding the Fourth Proportional to 201,701.54, 302,324.73 and 89,366.97

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Solution

The fourth proportional to 201,701.54, 302,324.73 and 89,366.97 is: 133,949.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,701.54 : 302,324.73 = 89,366.97 : x
  2. Step 2: Convert to fraction form
    201,701.54/302,324.73 = 89,366.97/x
  3. Step 3: Cross multiply
    201,701.54x = 302,324.73 × 89,366.97
  4. Step 4: Simplify right side
    201,701.54x = 27,017,845,275.82
  5. Step 5: Solve for x
    x = 27,017,845,275.82/201,701.54
  6. Step 6: Final answer
    x = 133,949.62

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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.