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Finding the Fourth Proportional to 256,870.80, 385,306.20 and 194,662.80

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Solution

The fourth proportional to 256,870.80, 385,306.20 and 194,662.80 is: 291,994.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,870.80 : 385,306.20 = 194,662.80 : x
  2. Step 2: Convert to fraction form
    256,870.80/385,306.20 = 194,662.80/x
  3. Step 3: Cross multiply
    256,870.80x = 385,306.20 × 194,662.80
  4. Step 4: Simplify right side
    256,870.80x = 75,004,783,749.36
  5. Step 5: Solve for x
    x = 75,004,783,749.36/256,870.80
  6. Step 6: Final answer
    x = 291,994.20

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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.