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Finding the Fourth Proportional to 214,230.71, 321,347.22 and 64,469.98

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Solution

The fourth proportional to 214,230.71, 321,347.22 and 64,469.98 is: 96,705.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,230.71 : 321,347.22 = 64,469.98 : x
  2. Step 2: Convert to fraction form
    214,230.71/321,347.22 = 64,469.98/x
  3. Step 3: Cross multiply
    214,230.71x = 321,347.22 × 64,469.98
  4. Step 4: Simplify right side
    214,230.71x = 20,717,249,006.38
  5. Step 5: Solve for x
    x = 20,717,249,006.38/214,230.71
  6. Step 6: Final answer
    x = 96,705.32

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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.