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Finding the Fourth Proportional to 188,585.82, 260,246.12 and 140,403

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Solution

The fourth proportional to 188,585.82, 260,246.12 and 140,403 is: 193,754.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,585.82 : 260,246.12 = 140,403 : x
  2. Step 2: Convert to fraction form
    188,585.82/260,246.12 = 140,403/x
  3. Step 3: Cross multiply
    188,585.82x = 260,246.12 × 140,403
  4. Step 4: Simplify right side
    188,585.82x = 36,539,335,986.36
  5. Step 5: Solve for x
    x = 36,539,335,986.36/188,585.82
  6. Step 6: Final answer
    x = 193,754.42

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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.