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Finding the Fourth Proportional to 277,103.84, 382,407.55 and 162,355.02

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Solution

The fourth proportional to 277,103.84, 382,407.55 and 162,355.02 is: 224,052.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,103.84 : 382,407.55 = 162,355.02 : x
  2. Step 2: Convert to fraction form
    277,103.84/382,407.55 = 162,355.02/x
  3. Step 3: Cross multiply
    277,103.84x = 382,407.55 × 162,355.02
  4. Step 4: Simplify right side
    277,103.84x = 62,085,783,588.49
  5. Step 5: Solve for x
    x = 62,085,783,588.49/277,103.84
  6. Step 6: Final answer
    x = 224,052.42

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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.