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Finding the Fourth Proportional to 194,908.47, 292,406.40 and 61,796.73

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Solution

The fourth proportional to 194,908.47, 292,406.40 and 61,796.73 is: 92,708.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,908.47 : 292,406.40 = 61,796.73 : x
  2. Step 2: Convert to fraction form
    194,908.47/292,406.40 = 61,796.73/x
  3. Step 3: Cross multiply
    194,908.47x = 292,406.40 × 61,796.73
  4. Step 4: Simplify right side
    194,908.47x = 18,069,759,351.07
  5. Step 5: Solve for x
    x = 18,069,759,351.07/194,908.47
  6. Step 6: Final answer
    x = 92,708.95

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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.