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Finding the Fourth Proportional to 221,097.44, 331,368.32 and 119,891.72

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Solution

The fourth proportional to 221,097.44, 331,368.32 and 119,891.72 is: 179,686.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,097.44 : 331,368.32 = 119,891.72 : x
  2. Step 2: Convert to fraction form
    221,097.44/331,368.32 = 119,891.72/x
  3. Step 3: Cross multiply
    221,097.44x = 331,368.32 × 119,891.72
  4. Step 4: Simplify right side
    221,097.44x = 39,728,317,838.31
  5. Step 5: Solve for x
    x = 39,728,317,838.31/221,097.44
  6. Step 6: Final answer
    x = 179,686.92

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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.