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Finding the Fourth Proportional to 188,500.26, 260,146.17 and 103,633.32

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Solution

The fourth proportional to 188,500.26, 260,146.17 and 103,633.32 is: 143,022.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,500.26 : 260,146.17 = 103,633.32 : x
  2. Step 2: Convert to fraction form
    188,500.26/260,146.17 = 103,633.32/x
  3. Step 3: Cross multiply
    188,500.26x = 260,146.17 × 103,633.32
  4. Step 4: Simplify right side
    188,500.26x = 26,959,811,282.38
  5. Step 5: Solve for x
    x = 26,959,811,282.38/188,500.26
  6. Step 6: Final answer
    x = 143,022.67

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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.