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Finding the Fourth Proportional to 150,005.89, 225,009.06 and 61,259.41

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Solution

The fourth proportional to 150,005.89, 225,009.06 and 61,259.41 is: 91,889.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,005.89 : 225,009.06 = 61,259.41 : x
  2. Step 2: Convert to fraction form
    150,005.89/225,009.06 = 61,259.41/x
  3. Step 3: Cross multiply
    150,005.89x = 225,009.06 × 61,259.41
  4. Step 4: Simplify right side
    150,005.89x = 13,783,922,260.25
  5. Step 5: Solve for x
    x = 13,783,922,260.25/150,005.89
  6. Step 6: Final answer
    x = 91,889.21

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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.