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Finding the Fourth Proportional to 227,783.35, 314,401.82 and 130,997.78

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Solution

The fourth proportional to 227,783.35, 314,401.82 and 130,997.78 is: 180,811.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,783.35 : 314,401.82 = 130,997.78 : x
  2. Step 2: Convert to fraction form
    227,783.35/314,401.82 = 130,997.78/x
  3. Step 3: Cross multiply
    227,783.35x = 314,401.82 × 130,997.78
  4. Step 4: Simplify right side
    227,783.35x = 41,185,940,447.96
  5. Step 5: Solve for x
    x = 41,185,940,447.96/227,783.35
  6. Step 6: Final answer
    x = 180,811.90

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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.