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Finding the Fourth Proportional to 277,919.40, 383,527.14 and 157,099.80

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Solution

The fourth proportional to 277,919.40, 383,527.14 and 157,099.80 is: 216,796.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,919.40 : 383,527.14 = 157,099.80 : x
  2. Step 2: Convert to fraction form
    277,919.40/383,527.14 = 157,099.80/x
  3. Step 3: Cross multiply
    277,919.40x = 383,527.14 × 157,099.80
  4. Step 4: Simplify right side
    277,919.40x = 60,252,036,988.57
  5. Step 5: Solve for x
    x = 60,252,036,988.57/277,919.40
  6. Step 6: Final answer
    x = 216,796.80

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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.