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Finding the Fourth Proportional to 150,578.28, 225,829.53 and 61,856.28

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Solution

The fourth proportional to 150,578.28, 225,829.53 and 61,856.28 is: 92,768.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,578.28 : 225,829.53 = 61,856.28 : x
  2. Step 2: Convert to fraction form
    150,578.28/225,829.53 = 61,856.28/x
  3. Step 3: Cross multiply
    150,578.28x = 225,829.53 × 61,856.28
  4. Step 4: Simplify right side
    150,578.28x = 13,968,974,639.95
  5. Step 5: Solve for x
    x = 13,968,974,639.95/150,578.28
  6. Step 6: Final answer
    x = 92,768.86

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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.