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Finding the Fourth Proportional to 150,399.65, 225,599.78 and 61,637.22

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Solution

The fourth proportional to 150,399.65, 225,599.78 and 61,637.22 is: 92,455.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,399.65 : 225,599.78 = 61,637.22 : x
  2. Step 2: Convert to fraction form
    150,399.65/225,599.78 = 61,637.22/x
  3. Step 3: Cross multiply
    150,399.65x = 225,599.78 × 61,637.22
  4. Step 4: Simplify right side
    150,399.65x = 13,905,343,425.90
  5. Step 5: Solve for x
    x = 13,905,343,425.90/150,399.65
  6. Step 6: Final answer
    x = 92,455.95

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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.