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Finding the Fourth Proportional to 277,520.61, 382,979.57 and 150,196.17

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Solution

The fourth proportional to 277,520.61, 382,979.57 and 150,196.17 is: 207,271.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,520.61 : 382,979.57 = 150,196.17 : x
  2. Step 2: Convert to fraction form
    277,520.61/382,979.57 = 150,196.17/x
  3. Step 3: Cross multiply
    277,520.61x = 382,979.57 × 150,196.17
  4. Step 4: Simplify right side
    277,520.61x = 57,522,063,851.27
  5. Step 5: Solve for x
    x = 57,522,063,851.27/277,520.61
  6. Step 6: Final answer
    x = 207,271.32

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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.