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Finding the Fourth Proportional to 188,584.82, 260,244.75 and 140,402

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Solution

The fourth proportional to 188,584.82, 260,244.75 and 140,402 is: 193,753.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,584.82 : 260,244.75 = 140,402 : x
  2. Step 2: Convert to fraction form
    188,584.82/260,244.75 = 140,402/x
  3. Step 3: Cross multiply
    188,584.82x = 260,244.75 × 140,402
  4. Step 4: Simplify right side
    188,584.82x = 36,538,883,389.50
  5. Step 5: Solve for x
    x = 36,538,883,389.50/188,584.82
  6. Step 6: Final answer
    x = 193,753.05

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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.