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Finding the Fourth Proportional to 213,332.68, 294,358.38 and 128,455.24

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Solution

The fourth proportional to 213,332.68, 294,358.38 and 128,455.24 is: 177,243.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,332.68 : 294,358.38 = 128,455.24 : x
  2. Step 2: Convert to fraction form
    213,332.68/294,358.38 = 128,455.24/x
  3. Step 3: Cross multiply
    213,332.68x = 294,358.38 × 128,455.24
  4. Step 4: Simplify right side
    213,332.68x = 37,811,876,348.91
  5. Step 5: Solve for x
    x = 37,811,876,348.91/213,332.68
  6. Step 6: Final answer
    x = 177,243.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.