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Finding the Fourth Proportional to 355,154.14, 532,863.56 and 213,101.37

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Solution

The fourth proportional to 355,154.14, 532,863.56 and 213,101.37 is: 319,731.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,154.14 : 532,863.56 = 213,101.37 : x
  2. Step 2: Convert to fraction form
    355,154.14/532,863.56 = 213,101.37/x
  3. Step 3: Cross multiply
    355,154.14x = 532,863.56 × 213,101.37
  4. Step 4: Simplify right side
    355,154.14x = 113,553,954,659.08
  5. Step 5: Solve for x
    x = 113,553,954,659.08/355,154.14
  6. Step 6: Final answer
    x = 319,731.47

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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.