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Finding the Fourth Proportional to 150,580.78, 225,833.28 and 61,858.78

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Solution

The fourth proportional to 150,580.78, 225,833.28 and 61,858.78 is: 92,772.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,580.78 : 225,833.28 = 61,858.78 : x
  2. Step 2: Convert to fraction form
    150,580.78/225,833.28 = 61,858.78/x
  3. Step 3: Cross multiply
    150,580.78x = 225,833.28 × 61,858.78
  4. Step 4: Simplify right side
    150,580.78x = 13,969,771,184.20
  5. Step 5: Solve for x
    x = 13,969,771,184.20/150,580.78
  6. Step 6: Final answer
    x = 92,772.60

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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.