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Finding the Fourth Proportional to 196,251.30, 294,376.95 and 117,519.30

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Solution

The fourth proportional to 196,251.30, 294,376.95 and 117,519.30 is: 176,278.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,251.30 : 294,376.95 = 117,519.30 : x
  2. Step 2: Convert to fraction form
    196,251.30/294,376.95 = 117,519.30/x
  3. Step 3: Cross multiply
    196,251.30x = 294,376.95 × 117,519.30
  4. Step 4: Simplify right side
    196,251.30x = 34,594,973,100.14
  5. Step 5: Solve for x
    x = 34,594,973,100.14/196,251.30
  6. Step 6: Final answer
    x = 176,278.95

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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.