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Finding the Fourth Proportional to 150,602.18, 225,904.89 and 45,422.06

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Solution

The fourth proportional to 150,602.18, 225,904.89 and 45,422.06 is: 68,133.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,602.18 : 225,904.89 = 45,422.06 : x
  2. Step 2: Convert to fraction form
    150,602.18/225,904.89 = 45,422.06/x
  3. Step 3: Cross multiply
    150,602.18x = 225,904.89 × 45,422.06
  4. Step 4: Simplify right side
    150,602.18x = 10,261,065,467.87
  5. Step 5: Solve for x
    x = 10,261,065,467.87/150,602.18
  6. Step 6: Final answer
    x = 68,133.58

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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.