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Finding the Fourth Proportional to 254,106.29, 381,194.63 and 85,674.83

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Solution

The fourth proportional to 254,106.29, 381,194.63 and 85,674.83 is: 128,524.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,106.29 : 381,194.63 = 85,674.83 : x
  2. Step 2: Convert to fraction form
    254,106.29/381,194.63 = 85,674.83/x
  3. Step 3: Cross multiply
    254,106.29x = 381,194.63 × 85,674.83
  4. Step 4: Simplify right side
    254,106.29x = 32,658,785,122.16
  5. Step 5: Solve for x
    x = 32,658,785,122.16/254,106.29
  6. Step 6: Final answer
    x = 128,524.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.