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Finding the Fourth Proportional to 194,630.80, 291,946.20 and 52,475.80

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Solution

The fourth proportional to 194,630.80, 291,946.20 and 52,475.80 is: 78,713.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,630.80 : 291,946.20 = 52,475.80 : x
  2. Step 2: Convert to fraction form
    194,630.80/291,946.20 = 52,475.80/x
  3. Step 3: Cross multiply
    194,630.80x = 291,946.20 × 52,475.80
  4. Step 4: Simplify right side
    194,630.80x = 15,320,110,401.96
  5. Step 5: Solve for x
    x = 15,320,110,401.96/194,630.80
  6. Step 6: Final answer
    x = 78,713.70

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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.