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Finding the Fourth Proportional to 196,033.54, 293,931.92 and 87,943.11

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Solution

The fourth proportional to 196,033.54, 293,931.92 and 87,943.11 is: 131,861.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,033.54 : 293,931.92 = 87,943.11 : x
  2. Step 2: Convert to fraction form
    196,033.54/293,931.92 = 87,943.11/x
  3. Step 3: Cross multiply
    196,033.54x = 293,931.92 × 87,943.11
  4. Step 4: Simplify right side
    196,033.54x = 25,849,288,495.17
  5. Step 5: Solve for x
    x = 25,849,288,495.17/196,033.54
  6. Step 6: Final answer
    x = 131,861.56

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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.