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Finding the Fourth Proportional to 219,361.16, 329,081.84 and 69,639.14

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Solution

The fourth proportional to 219,361.16, 329,081.84 and 69,639.14 is: 104,471.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,361.16 : 329,081.84 = 69,639.14 : x
  2. Step 2: Convert to fraction form
    219,361.16/329,081.84 = 69,639.14/x
  3. Step 3: Cross multiply
    219,361.16x = 329,081.84 × 69,639.14
  4. Step 4: Simplify right side
    219,361.16x = 22,916,977,062.87
  5. Step 5: Solve for x
    x = 22,916,977,062.87/219,361.16
  6. Step 6: Final answer
    x = 104,471.44

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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.