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Finding the Fourth Proportional to 271,876.96, 407,815.44 and 84,904.48

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Solution

The fourth proportional to 271,876.96, 407,815.44 and 84,904.48 is: 127,356.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,876.96 : 407,815.44 = 84,904.48 : x
  2. Step 2: Convert to fraction form
    271,876.96/407,815.44 = 84,904.48/x
  3. Step 3: Cross multiply
    271,876.96x = 407,815.44 × 84,904.48
  4. Step 4: Simplify right side
    271,876.96x = 34,625,357,869.17
  5. Step 5: Solve for x
    x = 34,625,357,869.17/271,876.96
  6. Step 6: Final answer
    x = 127,356.72

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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.