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Finding the Fourth Proportional to 214,488.53, 321,735.09 and 64,730.16

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Solution

The fourth proportional to 214,488.53, 321,735.09 and 64,730.16 is: 97,095.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,488.53 : 321,735.09 = 64,730.16 : x
  2. Step 2: Convert to fraction form
    214,488.53/321,735.09 = 64,730.16/x
  3. Step 3: Cross multiply
    214,488.53x = 321,735.09 × 64,730.16
  4. Step 4: Simplify right side
    214,488.53x = 20,825,965,302.56
  5. Step 5: Solve for x
    x = 20,825,965,302.56/214,488.53
  6. Step 6: Final answer
    x = 97,095.94

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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.