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Finding the Fourth Proportional to 214,472.40, 321,499.38 and 102,122.42

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Solution

The fourth proportional to 214,472.40, 321,499.38 and 102,122.42 is: 153,084.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,472.40 : 321,499.38 = 102,122.42 : x
  2. Step 2: Convert to fraction form
    214,472.40/321,499.38 = 102,122.42/x
  3. Step 3: Cross multiply
    214,472.40x = 321,499.38 × 102,122.42
  4. Step 4: Simplify right side
    214,472.40x = 32,832,294,714.10
  5. Step 5: Solve for x
    x = 32,832,294,714.10/214,472.40
  6. Step 6: Final answer
    x = 153,084.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.