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Finding the Fourth Proportional to 231,280.52, 319,220.46 and 150,567.50

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Solution

The fourth proportional to 231,280.52, 319,220.46 and 150,567.50 is: 207,817.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,280.52 : 319,220.46 = 150,567.50 : x
  2. Step 2: Convert to fraction form
    231,280.52/319,220.46 = 150,567.50/x
  3. Step 3: Cross multiply
    231,280.52x = 319,220.46 × 150,567.50
  4. Step 4: Simplify right side
    231,280.52x = 48,064,226,611.05
  5. Step 5: Solve for x
    x = 48,064,226,611.05/231,280.52
  6. Step 6: Final answer
    x = 207,817.88

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