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Finding the Fourth Proportional to 227,994.64, 314,469.40 and 160,026.78

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Solution

The fourth proportional to 227,994.64, 314,469.40 and 160,026.78 is: 220,722.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,994.64 : 314,469.40 = 160,026.78 : x
  2. Step 2: Convert to fraction form
    227,994.64/314,469.40 = 160,026.78/x
  3. Step 3: Cross multiply
    227,994.64x = 314,469.40 × 160,026.78
  4. Step 4: Simplify right side
    227,994.64x = 50,323,525,490.53
  5. Step 5: Solve for x
    x = 50,323,525,490.53/227,994.64
  6. Step 6: Final answer
    x = 220,722.41

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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.