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Finding the Fourth Proportional to 197,716.77, 296,574.08 and 47,956.77

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Solution

The fourth proportional to 197,716.77, 296,574.08 and 47,956.77 is: 71,934.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,716.77 : 296,574.08 = 47,956.77 : x
  2. Step 2: Convert to fraction form
    197,716.77/296,574.08 = 47,956.77/x
  3. Step 3: Cross multiply
    197,716.77x = 296,574.08 × 47,956.77
  4. Step 4: Simplify right side
    197,716.77x = 14,222,734,702.74
  5. Step 5: Solve for x
    x = 14,222,734,702.74/197,716.77
  6. Step 6: Final answer
    x = 71,934.89

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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.