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Finding the Fourth Proportional to 194,852.16, 292,245.30 and 54,578.52

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Solution

The fourth proportional to 194,852.16, 292,245.30 and 54,578.52 is: 81,858.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,852.16 : 292,245.30 = 54,578.52 : x
  2. Step 2: Convert to fraction form
    194,852.16/292,245.30 = 54,578.52/x
  3. Step 3: Cross multiply
    194,852.16x = 292,245.30 × 54,578.52
  4. Step 4: Simplify right side
    194,852.16x = 15,950,315,950.96
  5. Step 5: Solve for x
    x = 15,950,315,950.96/194,852.16
  6. Step 6: Final answer
    x = 81,858.55

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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.