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Finding the Fourth Proportional to 214,497.60, 321,855.75 and 88,234.80

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Solution

The fourth proportional to 214,497.60, 321,855.75 and 88,234.80 is: 132,397.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,497.60 : 321,855.75 = 88,234.80 : x
  2. Step 2: Convert to fraction form
    214,497.60/321,855.75 = 88,234.80/x
  3. Step 3: Cross multiply
    214,497.60x = 321,855.75 × 88,234.80
  4. Step 4: Simplify right side
    214,497.60x = 28,398,877,730.10
  5. Step 5: Solve for x
    x = 28,398,877,730.10/214,497.60
  6. Step 6: Final answer
    x = 132,397.18

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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.