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Finding the Fourth Proportional to 277,481.40, 382,925.36 and 150,157

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Solution

The fourth proportional to 277,481.40, 382,925.36 and 150,157 is: 207,217.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,481.40 : 382,925.36 = 150,157 : x
  2. Step 2: Convert to fraction form
    277,481.40/382,925.36 = 150,157/x
  3. Step 3: Cross multiply
    277,481.40x = 382,925.36 × 150,157
  4. Step 4: Simplify right side
    277,481.40x = 57,498,923,281.52
  5. Step 5: Solve for x
    x = 57,498,923,281.52/277,481.40
  6. Step 6: Final answer
    x = 207,217.22

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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.