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Finding the Fourth Proportional to 203,861.40, 305,840.70 and 98,593.80

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Solution

The fourth proportional to 203,861.40, 305,840.70 and 98,593.80 is: 147,914.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,861.40 : 305,840.70 = 98,593.80 : x
  2. Step 2: Convert to fraction form
    203,861.40/305,840.70 = 98,593.80/x
  3. Step 3: Cross multiply
    203,861.40x = 305,840.70 × 98,593.80
  4. Step 4: Simplify right side
    203,861.40x = 30,153,996,807.66
  5. Step 5: Solve for x
    x = 30,153,996,807.66/203,861.40
  6. Step 6: Final answer
    x = 147,914.20

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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.