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Finding the Fourth Proportional to 150,478.76, 225,558.99 and 55,648.01

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Solution

The fourth proportional to 150,478.76, 225,558.99 and 55,648.01 is: 83,413.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,478.76 : 225,558.99 = 55,648.01 : x
  2. Step 2: Convert to fraction form
    150,478.76/225,558.99 = 55,648.01/x
  3. Step 3: Cross multiply
    150,478.76x = 225,558.99 × 55,648.01
  4. Step 4: Simplify right side
    150,478.76x = 12,551,907,803.31
  5. Step 5: Solve for x
    x = 12,551,907,803.31/150,478.76
  6. Step 6: Final answer
    x = 83,413.16

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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.