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Finding the Fourth Proportional to 150,176.54, 225,258.98 and 55,365.71

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Solution

The fourth proportional to 150,176.54, 225,258.98 and 55,365.71 is: 83,046.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,176.54 : 225,258.98 = 55,365.71 : x
  2. Step 2: Convert to fraction form
    150,176.54/225,258.98 = 55,365.71/x
  3. Step 3: Cross multiply
    150,176.54x = 225,258.98 × 55,365.71
  4. Step 4: Simplify right side
    150,176.54x = 12,471,623,647.89
  5. Step 5: Solve for x
    x = 12,471,623,647.89/150,176.54
  6. Step 6: Final answer
    x = 83,046.42

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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.