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Finding the Fourth Proportional to 231,707.70, 347,561.55 and 181,941.30

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Solution

The fourth proportional to 231,707.70, 347,561.55 and 181,941.30 is: 272,911.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,707.70 : 347,561.55 = 181,941.30 : x
  2. Step 2: Convert to fraction form
    231,707.70/347,561.55 = 181,941.30/x
  3. Step 3: Cross multiply
    231,707.70x = 347,561.55 × 181,941.30
  4. Step 4: Simplify right side
    231,707.70x = 63,235,800,237.02
  5. Step 5: Solve for x
    x = 63,235,800,237.02/231,707.70
  6. Step 6: Final answer
    x = 272,911.95

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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.