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Finding the Fourth Proportional to 214,700.90, 322,105.68 and 151,644.15

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Solution

The fourth proportional to 214,700.90, 322,105.68 and 151,644.15 is: 227,504.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,700.90 : 322,105.68 = 151,644.15 : x
  2. Step 2: Convert to fraction form
    214,700.90/322,105.68 = 151,644.15/x
  3. Step 3: Cross multiply
    214,700.90x = 322,105.68 × 151,644.15
  4. Step 4: Simplify right side
    214,700.90x = 48,845,442,053.77
  5. Step 5: Solve for x
    x = 48,845,442,053.77/214,700.90
  6. Step 6: Final answer
    x = 227,504.60

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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.