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Finding the Fourth Proportional to 194,773.60, 292,138.80 and 54,546.40

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Solution

The fourth proportional to 194,773.60, 292,138.80 and 54,546.40 is: 81,813.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,773.60 : 292,138.80 = 54,546.40 : x
  2. Step 2: Convert to fraction form
    194,773.60/292,138.80 = 54,546.40/x
  3. Step 3: Cross multiply
    194,773.60x = 292,138.80 × 54,546.40
  4. Step 4: Simplify right side
    194,773.60x = 15,935,119,840.32
  5. Step 5: Solve for x
    x = 15,935,119,840.32/194,773.60
  6. Step 6: Final answer
    x = 81,813.55

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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.