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Finding the Fourth Proportional to 277,493.46, 382,942.18 and 150,169.08

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Solution

The fourth proportional to 277,493.46, 382,942.18 and 150,169.08 is: 207,233.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,493.46 : 382,942.18 = 150,169.08 : x
  2. Step 2: Convert to fraction form
    277,493.46/382,942.18 = 150,169.08/x
  3. Step 3: Cross multiply
    277,493.46x = 382,942.18 × 150,169.08
  4. Step 4: Simplify right side
    277,493.46x = 57,506,074,863.79
  5. Step 5: Solve for x
    x = 57,506,074,863.79/277,493.46
  6. Step 6: Final answer
    x = 207,233.98

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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.