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Finding the Fourth Proportional to 194,893.81, 292,351.03 and 61,784.45

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Solution

The fourth proportional to 194,893.81, 292,351.03 and 61,784.45 is: 92,679.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,893.81 : 292,351.03 = 61,784.45 : x
  2. Step 2: Convert to fraction form
    194,893.81/292,351.03 = 61,784.45/x
  3. Step 3: Cross multiply
    194,893.81x = 292,351.03 × 61,784.45
  4. Step 4: Simplify right side
    194,893.81x = 18,062,747,595.48
  5. Step 5: Solve for x
    x = 18,062,747,595.48/194,893.81
  6. Step 6: Final answer
    x = 92,679.95

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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.