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Finding the Fourth Proportional to 214,478.36, 321,508.40 and 102,128.42

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Solution

The fourth proportional to 214,478.36, 321,508.40 and 102,128.42 is: 153,093.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,478.36 : 321,508.40 = 102,128.42 : x
  2. Step 2: Convert to fraction form
    214,478.36/321,508.40 = 102,128.42/x
  3. Step 3: Cross multiply
    214,478.36x = 321,508.40 × 102,128.42
  4. Step 4: Simplify right side
    214,478.36x = 32,835,144,908.73
  5. Step 5: Solve for x
    x = 32,835,144,908.73/214,478.36
  6. Step 6: Final answer
    x = 153,093.04

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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.