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Finding the Fourth Proportional to 214,488.16, 321,734.54 and 64,729.80

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Solution

The fourth proportional to 214,488.16, 321,734.54 and 64,729.80 is: 97,095.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,488.16 : 321,734.54 = 64,729.80 : x
  2. Step 2: Convert to fraction form
    214,488.16/321,734.54 = 64,729.80/x
  3. Step 3: Cross multiply
    214,488.16x = 321,734.54 × 64,729.80
  4. Step 4: Simplify right side
    214,488.16x = 20,825,812,589.12
  5. Step 5: Solve for x
    x = 20,825,812,589.12/214,488.16
  6. Step 6: Final answer
    x = 97,095.40

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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.