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Finding the Fourth Proportional to 194,506.89, 291,760.31 and 61,480.55

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Solution

The fourth proportional to 194,506.89, 291,760.31 and 61,480.55 is: 92,220.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,506.89 : 291,760.31 = 61,480.55 : x
  2. Step 2: Convert to fraction form
    194,506.89/291,760.31 = 61,480.55/x
  3. Step 3: Cross multiply
    194,506.89x = 291,760.31 × 61,480.55
  4. Step 4: Simplify right side
    194,506.89x = 17,937,584,326.97
  5. Step 5: Solve for x
    x = 17,937,584,326.97/194,506.89
  6. Step 6: Final answer
    x = 92,220.82

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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.