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Finding the Fourth Proportional to 280,079.70, 386,440.84 and 165,361.02

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Solution

The fourth proportional to 280,079.70, 386,440.84 and 165,361.02 is: 228,157.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,079.70 : 386,440.84 = 165,361.02 : x
  2. Step 2: Convert to fraction form
    280,079.70/386,440.84 = 165,361.02/x
  3. Step 3: Cross multiply
    280,079.70x = 386,440.84 × 165,361.02
  4. Step 4: Simplify right side
    280,079.70x = 63,902,251,472.06
  5. Step 5: Solve for x
    x = 63,902,251,472.06/280,079.70
  6. Step 6: Final answer
    x = 228,157.38

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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.