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Finding the Fourth Proportional to 146,762.28, 220,137.95 and 41,578.52

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Solution

The fourth proportional to 146,762.28, 220,137.95 and 41,578.52 is: 62,366.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,762.28 : 220,137.95 = 41,578.52 : x
  2. Step 2: Convert to fraction form
    146,762.28/220,137.95 = 41,578.52/x
  3. Step 3: Cross multiply
    146,762.28x = 220,137.95 × 41,578.52
  4. Step 4: Simplify right side
    146,762.28x = 9,153,009,160.09
  5. Step 5: Solve for x
    x = 9,153,009,160.09/146,762.28
  6. Step 6: Final answer
    x = 62,366.22

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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.