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Finding the Fourth Proportional to 254,166.48, 381,251.16 and 67,176

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Solution

The fourth proportional to 254,166.48, 381,251.16 and 67,176 is: 100,764.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,166.48 : 381,251.16 = 67,176 : x
  2. Step 2: Convert to fraction form
    254,166.48/381,251.16 = 67,176/x
  3. Step 3: Cross multiply
    254,166.48x = 381,251.16 × 67,176
  4. Step 4: Simplify right side
    254,166.48x = 25,610,927,924.16
  5. Step 5: Solve for x
    x = 25,610,927,924.16/254,166.48
  6. Step 6: Final answer
    x = 100,764.38

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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.