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Finding the Fourth Proportional to 202,947.66, 280,097.49 and 116,890.11

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Solution

The fourth proportional to 202,947.66, 280,097.49 and 116,890.11 is: 161,325.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,947.66 : 280,097.49 = 116,890.11 : x
  2. Step 2: Convert to fraction form
    202,947.66/280,097.49 = 116,890.11/x
  3. Step 3: Cross multiply
    202,947.66x = 280,097.49 × 116,890.11
  4. Step 4: Simplify right side
    202,947.66x = 32,740,626,416.82
  5. Step 5: Solve for x
    x = 32,740,626,416.82/202,947.66
  6. Step 6: Final answer
    x = 161,325.47

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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.