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Finding the Fourth Proportional to 189,714.18, 261,820.46 and 108,045.87

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Solution

The fourth proportional to 189,714.18, 261,820.46 and 108,045.87 is: 149,111.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,714.18 : 261,820.46 = 108,045.87 : x
  2. Step 2: Convert to fraction form
    189,714.18/261,820.46 = 108,045.87/x
  3. Step 3: Cross multiply
    189,714.18x = 261,820.46 × 108,045.87
  4. Step 4: Simplify right side
    189,714.18x = 28,288,620,578.02
  5. Step 5: Solve for x
    x = 28,288,620,578.02/189,714.18
  6. Step 6: Final answer
    x = 149,111.78

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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.