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Finding the Fourth Proportional to 189,644.30, 261,761.28 and 117,981.58

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Solution

The fourth proportional to 189,644.30, 261,761.28 and 117,981.58 is: 162,847.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,644.30 : 261,761.28 = 117,981.58 : x
  2. Step 2: Convert to fraction form
    189,644.30/261,761.28 = 117,981.58/x
  3. Step 3: Cross multiply
    189,644.30x = 261,761.28 × 117,981.58
  4. Step 4: Simplify right side
    189,644.30x = 30,883,009,397.22
  5. Step 5: Solve for x
    x = 30,883,009,397.22/189,644.30
  6. Step 6: Final answer
    x = 162,847.02

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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.