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Finding the Fourth Proportional to 283,238.97, 390,874.77 and 154,181.16

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Solution

The fourth proportional to 283,238.97, 390,874.77 and 154,181.16 is: 212,772.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,238.97 : 390,874.77 = 154,181.16 : x
  2. Step 2: Convert to fraction form
    283,238.97/390,874.77 = 154,181.16/x
  3. Step 3: Cross multiply
    283,238.97x = 390,874.77 × 154,181.16
  4. Step 4: Simplify right side
    283,238.97x = 60,265,525,453.33
  5. Step 5: Solve for x
    x = 60,265,525,453.33/283,238.97
  6. Step 6: Final answer
    x = 212,772.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.