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Finding the Fourth Proportional to 188,680, 260,165.82 and 145,561.36

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Solution

The fourth proportional to 188,680, 260,165.82 and 145,561.36 is: 200,710.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,680 : 260,165.82 = 145,561.36 : x
  2. Step 2: Convert to fraction form
    188,680/260,165.82 = 145,561.36/x
  3. Step 3: Cross multiply
    188,680x = 260,165.82 × 145,561.36
  4. Step 4: Simplify right side
    188,680x = 37,870,090,584.72
  5. Step 5: Solve for x
    x = 37,870,090,584.72/188,680
  6. Step 6: Final answer
    x = 200,710.68

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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.