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Finding the Fourth Proportional to 209,576.91, 289,216.17 and 114,084.32

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Solution

The fourth proportional to 209,576.91, 289,216.17 and 114,084.32 is: 157,436.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,576.91 : 289,216.17 = 114,084.32 : x
  2. Step 2: Convert to fraction form
    209,576.91/289,216.17 = 114,084.32/x
  3. Step 3: Cross multiply
    209,576.91x = 289,216.17 × 114,084.32
  4. Step 4: Simplify right side
    209,576.91x = 32,995,029,298.12
  5. Step 5: Solve for x
    x = 32,995,029,298.12/209,576.91
  6. Step 6: Final answer
    x = 157,436.38

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Why These Related Problems?

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