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Finding the Fourth Proportional to 214,045.71, 321,043.03 and 56,286.46

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Solution

The fourth proportional to 214,045.71, 321,043.03 and 56,286.46 is: 84,422.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,045.71 : 321,043.03 = 56,286.46 : x
  2. Step 2: Convert to fraction form
    214,045.71/321,043.03 = 56,286.46/x
  3. Step 3: Cross multiply
    214,045.71x = 321,043.03 × 56,286.46
  4. Step 4: Simplify right side
    214,045.71x = 18,070,375,666.37
  5. Step 5: Solve for x
    x = 18,070,375,666.37/214,045.71
  6. Step 6: Final answer
    x = 84,422.98

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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.