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Finding the Fourth Proportional to 231,281.38, 319,150.69 and 140,624.76

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Solution

The fourth proportional to 231,281.38, 319,150.69 and 140,624.76 is: 194,051.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,281.38 : 319,150.69 = 140,624.76 : x
  2. Step 2: Convert to fraction form
    231,281.38/319,150.69 = 140,624.76/x
  3. Step 3: Cross multiply
    231,281.38x = 319,150.69 × 140,624.76
  4. Step 4: Simplify right side
    231,281.38x = 44,880,489,185.08
  5. Step 5: Solve for x
    x = 44,880,489,185.08/231,281.38
  6. Step 6: Final answer
    x = 194,051.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.