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Finding the Fourth Proportional to 235,452.78, 353,171.24 and 102,333.06

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Solution

The fourth proportional to 235,452.78, 353,171.24 and 102,333.06 is: 153,496.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,452.78 : 353,171.24 = 102,333.06 : x
  2. Step 2: Convert to fraction form
    235,452.78/353,171.24 = 102,333.06/x
  3. Step 3: Cross multiply
    235,452.78x = 353,171.24 × 102,333.06
  4. Step 4: Simplify right side
    235,452.78x = 36,141,093,181.53
  5. Step 5: Solve for x
    x = 36,141,093,181.53/235,452.78
  6. Step 6: Final answer
    x = 153,496.14

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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.