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Finding the Fourth Proportional to 223,102.86, 334,605.06 and 65,343.60

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Solution

The fourth proportional to 223,102.86, 334,605.06 and 65,343.60 is: 98,000.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,102.86 : 334,605.06 = 65,343.60 : x
  2. Step 2: Convert to fraction form
    223,102.86/334,605.06 = 65,343.60/x
  3. Step 3: Cross multiply
    223,102.86x = 334,605.06 × 65,343.60
  4. Step 4: Simplify right side
    223,102.86x = 21,864,299,198.62
  5. Step 5: Solve for x
    x = 21,864,299,198.62/223,102.86
  6. Step 6: Final answer
    x = 98,000.98

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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.