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Finding the Fourth Proportional to 194,852.52, 292,297.41 and 54,610.74

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Solution

The fourth proportional to 194,852.52, 292,297.41 and 54,610.74 is: 81,921.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,852.52 : 292,297.41 = 54,610.74 : x
  2. Step 2: Convert to fraction form
    194,852.52/292,297.41 = 54,610.74/x
  3. Step 3: Cross multiply
    194,852.52x = 292,297.41 × 54,610.74
  4. Step 4: Simplify right side
    194,852.52x = 15,962,577,860.18
  5. Step 5: Solve for x
    x = 15,962,577,860.18/194,852.52
  6. Step 6: Final answer
    x = 81,921.33

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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.