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Finding the Fourth Proportional to 194,887.80, 292,331.70 and 54,670.20

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Solution

The fourth proportional to 194,887.80, 292,331.70 and 54,670.20 is: 82,005.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,887.80 : 292,331.70 = 54,670.20 : x
  2. Step 2: Convert to fraction form
    194,887.80/292,331.70 = 54,670.20/x
  3. Step 3: Cross multiply
    194,887.80x = 292,331.70 × 54,670.20
  4. Step 4: Simplify right side
    194,887.80x = 15,981,832,505.34
  5. Step 5: Solve for x
    x = 15,981,832,505.34/194,887.80
  6. Step 6: Final answer
    x = 82,005.30

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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.