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Finding the Fourth Proportional to 269,231.40, 403,701.30 and 111,281.40

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Solution

The fourth proportional to 269,231.40, 403,701.30 and 111,281.40 is: 166,861.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,231.40 : 403,701.30 = 111,281.40 : x
  2. Step 2: Convert to fraction form
    269,231.40/403,701.30 = 111,281.40/x
  3. Step 3: Cross multiply
    269,231.40x = 403,701.30 × 111,281.40
  4. Step 4: Simplify right side
    269,231.40x = 44,924,445,845.82
  5. Step 5: Solve for x
    x = 44,924,445,845.82/269,231.40
  6. Step 6: Final answer
    x = 166,861.84

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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.