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Finding the Fourth Proportional to 194,617.50, 291,924.51 and 61,497.78

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Solution

The fourth proportional to 194,617.50, 291,924.51 and 61,497.78 is: 92,246.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,617.50 : 291,924.51 = 61,497.78 : x
  2. Step 2: Convert to fraction form
    194,617.50/291,924.51 = 61,497.78/x
  3. Step 3: Cross multiply
    194,617.50x = 291,924.51 × 61,497.78
  4. Step 4: Simplify right side
    194,617.50x = 17,952,709,609.33
  5. Step 5: Solve for x
    x = 17,952,709,609.33/194,617.50
  6. Step 6: Final answer
    x = 92,246.12

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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.