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Finding the Fourth Proportional to 150,069.83, 225,048.24 and 61,275.81

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Solution

The fourth proportional to 150,069.83, 225,048.24 and 61,275.81 is: 91,890.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,069.83 : 225,048.24 = 61,275.81 : x
  2. Step 2: Convert to fraction form
    150,069.83/225,048.24 = 61,275.81/x
  3. Step 3: Cross multiply
    150,069.83x = 225,048.24 × 61,275.81
  4. Step 4: Simplify right side
    150,069.83x = 13,790,013,195.07
  5. Step 5: Solve for x
    x = 13,790,013,195.07/150,069.83
  6. Step 6: Final answer
    x = 91,890.64

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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.