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Finding the Fourth Proportional to 196,661.84, 295,288.14 and 112,517

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Solution

The fourth proportional to 196,661.84, 295,288.14 and 112,517 is: 168,944.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,661.84 : 295,288.14 = 112,517 : x
  2. Step 2: Convert to fraction form
    196,661.84/295,288.14 = 112,517/x
  3. Step 3: Cross multiply
    196,661.84x = 295,288.14 × 112,517
  4. Step 4: Simplify right side
    196,661.84x = 33,224,935,648.38
  5. Step 5: Solve for x
    x = 33,224,935,648.38/196,661.84
  6. Step 6: Final answer
    x = 168,944.50

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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.