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Finding the Fourth Proportional to 114,096.81, 171,140.45 and 29,855.11

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Solution

The fourth proportional to 114,096.81, 171,140.45 and 29,855.11 is: 44,781.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,096.81 : 171,140.45 = 29,855.11 : x
  2. Step 2: Convert to fraction form
    114,096.81/171,140.45 = 29,855.11/x
  3. Step 3: Cross multiply
    114,096.81x = 171,140.45 × 29,855.11
  4. Step 4: Simplify right side
    114,096.81x = 5,109,416,104.50
  5. Step 5: Solve for x
    x = 5,109,416,104.50/114,096.81
  6. Step 6: Final answer
    x = 44,781.41

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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.