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Finding the Fourth Proportional to 354,845.52, 532,112.76 and 133,074

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Solution

The fourth proportional to 354,845.52, 532,112.76 and 133,074 is: 199,552.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,845.52 : 532,112.76 = 133,074 : x
  2. Step 2: Convert to fraction form
    354,845.52/532,112.76 = 133,074/x
  3. Step 3: Cross multiply
    354,845.52x = 532,112.76 × 133,074
  4. Step 4: Simplify right side
    354,845.52x = 70,810,373,424.24
  5. Step 5: Solve for x
    x = 70,810,373,424.24/354,845.52
  6. Step 6: Final answer
    x = 199,552.68

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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.