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Finding the Fourth Proportional to 150,465.46, 225,727.71 and 55,696.47

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Solution

The fourth proportional to 150,465.46, 225,727.71 and 55,696.47 is: 83,555.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,465.46 : 225,727.71 = 55,696.47 : x
  2. Step 2: Convert to fraction form
    150,465.46/225,727.71 = 55,696.47/x
  3. Step 3: Cross multiply
    150,465.46x = 225,727.71 × 55,696.47
  4. Step 4: Simplify right side
    150,465.46x = 12,572,236,628.18
  5. Step 5: Solve for x
    x = 12,572,236,628.18/150,465.46
  6. Step 6: Final answer
    x = 83,555.63

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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.