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Finding the Fourth Proportional to 277,856.96, 383,442.08 and 150,536

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Solution

The fourth proportional to 277,856.96, 383,442.08 and 150,536 is: 207,739.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,856.96 : 383,442.08 = 150,536 : x
  2. Step 2: Convert to fraction form
    277,856.96/383,442.08 = 150,536/x
  3. Step 3: Cross multiply
    277,856.96x = 383,442.08 × 150,536
  4. Step 4: Simplify right side
    277,856.96x = 57,721,836,954.88
  5. Step 5: Solve for x
    x = 57,721,836,954.88/277,856.96
  6. Step 6: Final answer
    x = 207,739.40

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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.