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Finding the Fourth Proportional to 277,176.12, 382,503.08 and 149,851.68

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Solution

The fourth proportional to 277,176.12, 382,503.08 and 149,851.68 is: 206,795.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,176.12 : 382,503.08 = 149,851.68 : x
  2. Step 2: Convert to fraction form
    277,176.12/382,503.08 = 149,851.68/x
  3. Step 3: Cross multiply
    277,176.12x = 382,503.08 × 149,851.68
  4. Step 4: Simplify right side
    277,176.12x = 57,318,728,393.92
  5. Step 5: Solve for x
    x = 57,318,728,393.92/277,176.12
  6. Step 6: Final answer
    x = 206,795.33

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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.