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Finding the Fourth Proportional to 254,184.24, 381,010.32 and 85,646.34

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Solution

The fourth proportional to 254,184.24, 381,010.32 and 85,646.34 is: 128,379.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,184.24 : 381,010.32 = 85,646.34 : x
  2. Step 2: Convert to fraction form
    254,184.24/381,010.32 = 85,646.34/x
  3. Step 3: Cross multiply
    254,184.24x = 381,010.32 × 85,646.34
  4. Step 4: Simplify right side
    254,184.24x = 32,632,139,410.23
  5. Step 5: Solve for x
    x = 32,632,139,410.23/254,184.24
  6. Step 6: Final answer
    x = 128,379.87

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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.