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Finding the Fourth Proportional to 214,612.66, 321,922.04 and 64,854.20

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Solution

The fourth proportional to 214,612.66, 321,922.04 and 64,854.20 is: 97,282.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,612.66 : 321,922.04 = 64,854.20 : x
  2. Step 2: Convert to fraction form
    214,612.66/321,922.04 = 64,854.20/x
  3. Step 3: Cross multiply
    214,612.66x = 321,922.04 × 64,854.20
  4. Step 4: Simplify right side
    214,612.66x = 20,877,996,366.57
  5. Step 5: Solve for x
    x = 20,877,996,366.57/214,612.66
  6. Step 6: Final answer
    x = 97,282.22

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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.