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Finding the Fourth Proportional to 277,442.32, 382,867.68 and 150,115.12

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Solution

The fourth proportional to 277,442.32, 382,867.68 and 150,115.12 is: 207,157.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,442.32 : 382,867.68 = 150,115.12 : x
  2. Step 2: Convert to fraction form
    277,442.32/382,867.68 = 150,115.12/x
  3. Step 3: Cross multiply
    277,442.32x = 382,867.68 × 150,115.12
  4. Step 4: Simplify right side
    277,442.32x = 57,474,227,727.32
  5. Step 5: Solve for x
    x = 57,474,227,727.32/277,442.32
  6. Step 6: Final answer
    x = 207,157.39

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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.