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Finding the Fourth Proportional to 114,242.76, 171,359.22 and 31,136.76

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Solution

The fourth proportional to 114,242.76, 171,359.22 and 31,136.76 is: 46,703.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,242.76 : 171,359.22 = 31,136.76 : x
  2. Step 2: Convert to fraction form
    114,242.76/171,359.22 = 31,136.76/x
  3. Step 3: Cross multiply
    114,242.76x = 171,359.22 × 31,136.76
  4. Step 4: Simplify right side
    114,242.76x = 5,335,570,906.93
  5. Step 5: Solve for x
    x = 5,335,570,906.93/114,242.76
  6. Step 6: Final answer
    x = 46,703.80

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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.