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Finding the Fourth Proportional to 146,206.34, 219,309.51 and 35,398.34

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Solution

The fourth proportional to 146,206.34, 219,309.51 and 35,398.34 is: 53,097.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,206.34 : 219,309.51 = 35,398.34 : x
  2. Step 2: Convert to fraction form
    146,206.34/219,309.51 = 35,398.34/x
  3. Step 3: Cross multiply
    146,206.34x = 219,309.51 × 35,398.34
  4. Step 4: Simplify right side
    146,206.34x = 7,763,192,600.21
  5. Step 5: Solve for x
    x = 7,763,192,600.21/146,206.34
  6. Step 6: Final answer
    x = 53,097.51

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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.