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Finding the Fourth Proportional to 213,093.74, 319,585.26 and 63,298.82

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Solution

The fourth proportional to 213,093.74, 319,585.26 and 63,298.82 is: 94,931.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,093.74 : 319,585.26 = 63,298.82 : x
  2. Step 2: Convert to fraction form
    213,093.74/319,585.26 = 63,298.82/x
  3. Step 3: Cross multiply
    213,093.74x = 319,585.26 × 63,298.82
  4. Step 4: Simplify right side
    213,093.74x = 20,229,369,847.39
  5. Step 5: Solve for x
    x = 20,229,369,847.39/213,093.74
  6. Step 6: Final answer
    x = 94,931.79

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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.