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Finding the Fourth Proportional to 206,106.05, 284,411.52 and 115,446.69

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Solution

The fourth proportional to 206,106.05, 284,411.52 and 115,446.69 is: 159,308.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,106.05 : 284,411.52 = 115,446.69 : x
  2. Step 2: Convert to fraction form
    206,106.05/284,411.52 = 115,446.69/x
  3. Step 3: Cross multiply
    206,106.05x = 284,411.52 × 115,446.69
  4. Step 4: Simplify right side
    206,106.05x = 32,834,368,581.87
  5. Step 5: Solve for x
    x = 32,834,368,581.87/206,106.05
  6. Step 6: Final answer
    x = 159,308.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.