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Finding the Fourth Proportional to 271,707.53, 407,430.21 and 113,893.61

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Solution

The fourth proportional to 271,707.53, 407,430.21 and 113,893.61 is: 170,785.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,707.53 : 407,430.21 = 113,893.61 : x
  2. Step 2: Convert to fraction form
    271,707.53/407,430.21 = 113,893.61/x
  3. Step 3: Cross multiply
    271,707.53x = 407,430.21 × 113,893.61
  4. Step 4: Simplify right side
    271,707.53x = 46,403,697,439.96
  5. Step 5: Solve for x
    x = 46,403,697,439.96/271,707.53
  6. Step 6: Final answer
    x = 170,785.47

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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.