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Finding the Fourth Proportional to 271,651.96, 407,746.11 and 203,948.52

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Solution

The fourth proportional to 271,651.96, 407,746.11 and 203,948.52 is: 306,124.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,651.96 : 407,746.11 = 203,948.52 : x
  2. Step 2: Convert to fraction form
    271,651.96/407,746.11 = 203,948.52/x
  3. Step 3: Cross multiply
    271,651.96x = 407,746.11 × 203,948.52
  4. Step 4: Simplify right side
    271,651.96x = 83,159,215,670.26
  5. Step 5: Solve for x
    x = 83,159,215,670.26/271,651.96
  6. Step 6: Final answer
    x = 306,124.11

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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.