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Finding the Fourth Proportional to 188,888.56, 260,669.46 and 102,850

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Solution

The fourth proportional to 188,888.56, 260,669.46 and 102,850 is: 141,934.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,888.56 : 260,669.46 = 102,850 : x
  2. Step 2: Convert to fraction form
    188,888.56/260,669.46 = 102,850/x
  3. Step 3: Cross multiply
    188,888.56x = 260,669.46 × 102,850
  4. Step 4: Simplify right side
    188,888.56x = 26,809,853,961
  5. Step 5: Solve for x
    x = 26,809,853,961/188,888.56
  6. Step 6: Final answer
    x = 141,934.77

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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.