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Finding the Fourth Proportional to 150,642.24, 225,969.24 and 45,461.22

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Solution

The fourth proportional to 150,642.24, 225,969.24 and 45,461.22 is: 68,193.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,642.24 : 225,969.24 = 45,461.22 : x
  2. Step 2: Convert to fraction form
    150,642.24/225,969.24 = 45,461.22/x
  3. Step 3: Cross multiply
    150,642.24x = 225,969.24 × 45,461.22
  4. Step 4: Simplify right side
    150,642.24x = 10,272,837,332.87
  5. Step 5: Solve for x
    x = 10,272,837,332.87/150,642.24
  6. Step 6: Final answer
    x = 68,193.60

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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.