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Finding the Fourth Proportional to 254,878.14, 381,792.24 and 149,442.87

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Solution

The fourth proportional to 254,878.14, 381,792.24 and 149,442.87 is: 223,856.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,878.14 : 381,792.24 = 149,442.87 : x
  2. Step 2: Convert to fraction form
    254,878.14/381,792.24 = 149,442.87/x
  3. Step 3: Cross multiply
    254,878.14x = 381,792.24 × 149,442.87
  4. Step 4: Simplify right side
    254,878.14x = 57,056,128,089.33
  5. Step 5: Solve for x
    x = 57,056,128,089.33/254,878.14
  6. Step 6: Final answer
    x = 223,856.50

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Why These Related Problems?

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