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Finding the Fourth Proportional to 271,616.31, 407,824.41 and 151,907.81

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Solution

The fourth proportional to 271,616.31, 407,824.41 and 151,907.81 is: 228,085.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,616.31 : 407,824.41 = 151,907.81 : x
  2. Step 2: Convert to fraction form
    271,616.31/407,824.41 = 151,907.81/x
  3. Step 3: Cross multiply
    271,616.31x = 407,824.41 × 151,907.81
  4. Step 4: Simplify right side
    271,616.31x = 61,951,710,948.52
  5. Step 5: Solve for x
    x = 61,951,710,948.52/271,616.31
  6. Step 6: Final answer
    x = 228,085.39

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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.