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Finding the Fourth Proportional to 231,762.78, 347,049.63 and 160,584.30

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Solution

The fourth proportional to 231,762.78, 347,049.63 and 160,584.30 is: 240,464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,762.78 : 347,049.63 = 160,584.30 : x
  2. Step 2: Convert to fraction form
    231,762.78/347,049.63 = 160,584.30/x
  3. Step 3: Cross multiply
    231,762.78x = 347,049.63 × 160,584.30
  4. Step 4: Simplify right side
    231,762.78x = 55,730,721,898.81
  5. Step 5: Solve for x
    x = 55,730,721,898.81/231,762.78
  6. Step 6: Final answer
    x = 240,464.50

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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.