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Finding the Fourth Proportional to 277,076.89, 382,358.47 and 156,217.13

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Solution

The fourth proportional to 277,076.89, 382,358.47 and 156,217.13 is: 215,575.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,076.89 : 382,358.47 = 156,217.13 : x
  2. Step 2: Convert to fraction form
    277,076.89/382,358.47 = 156,217.13/x
  3. Step 3: Cross multiply
    277,076.89x = 382,358.47 × 156,217.13
  4. Step 4: Simplify right side
    277,076.89x = 59,730,942,814.59
  5. Step 5: Solve for x
    x = 59,730,942,814.59/277,076.89
  6. Step 6: Final answer
    x = 215,575.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.