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Finding the Fourth Proportional to 189,764.64, 261,827.76 and 108,074.40

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Solution

The fourth proportional to 189,764.64, 261,827.76 and 108,074.40 is: 149,115.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,764.64 : 261,827.76 = 108,074.40 : x
  2. Step 2: Convert to fraction form
    189,764.64/261,827.76 = 108,074.40/x
  3. Step 3: Cross multiply
    189,764.64x = 261,827.76 × 108,074.40
  4. Step 4: Simplify right side
    189,764.64x = 28,296,878,065.34
  5. Step 5: Solve for x
    x = 28,296,878,065.34/189,764.64
  6. Step 6: Final answer
    x = 149,115.65

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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.