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Finding the Fourth Proportional to 271,759.68, 407,109.12 and 177,981.12

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Solution

The fourth proportional to 271,759.68, 407,109.12 and 177,981.12 is: 266,624.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,759.68 : 407,109.12 = 177,981.12 : x
  2. Step 2: Convert to fraction form
    271,759.68/407,109.12 = 177,981.12/x
  3. Step 3: Cross multiply
    271,759.68x = 407,109.12 × 177,981.12
  4. Step 4: Simplify right side
    271,759.68x = 72,457,737,139.81
  5. Step 5: Solve for x
    x = 72,457,737,139.81/271,759.68
  6. Step 6: Final answer
    x = 266,624.31

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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.