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Finding the Fourth Proportional to 231,864.40, 347,861.40 and 113,539.60

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Solution

The fourth proportional to 231,864.40, 347,861.40 and 113,539.60 is: 170,341.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,864.40 : 347,861.40 = 113,539.60 : x
  2. Step 2: Convert to fraction form
    231,864.40/347,861.40 = 113,539.60/x
  3. Step 3: Cross multiply
    231,864.40x = 347,861.40 × 113,539.60
  4. Step 4: Simplify right side
    231,864.40x = 39,496,044,211.44
  5. Step 5: Solve for x
    x = 39,496,044,211.44/231,864.40
  6. Step 6: Final answer
    x = 170,341.13

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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.