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Finding the Fourth Proportional to 214,714.60, 321,683.10 and 183,610.60

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Solution

The fourth proportional to 214,714.60, 321,683.10 and 183,610.60 is: 275,083.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,714.60 : 321,683.10 = 183,610.60 : x
  2. Step 2: Convert to fraction form
    214,714.60/321,683.10 = 183,610.60/x
  3. Step 3: Cross multiply
    214,714.60x = 321,683.10 × 183,610.60
  4. Step 4: Simplify right side
    214,714.60x = 59,064,427,000.86
  5. Step 5: Solve for x
    x = 59,064,427,000.86/214,714.60
  6. Step 6: Final answer
    x = 275,083.42

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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.