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Finding the Fourth Proportional to 214,611.66, 321,920.54 and 64,853.20

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Solution

The fourth proportional to 214,611.66, 321,920.54 and 64,853.20 is: 97,280.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,611.66 : 321,920.54 = 64,853.20 : x
  2. Step 2: Convert to fraction form
    214,611.66/321,920.54 = 64,853.20/x
  3. Step 3: Cross multiply
    214,611.66x = 321,920.54 × 64,853.20
  4. Step 4: Simplify right side
    214,611.66x = 20,877,577,164.73
  5. Step 5: Solve for x
    x = 20,877,577,164.73/214,611.66
  6. Step 6: Final answer
    x = 97,280.72

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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.