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Finding the Fourth Proportional to 277,494.98, 382,944.24 and 150,170.57

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Solution

The fourth proportional to 277,494.98, 382,944.24 and 150,170.57 is: 207,236.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,494.98 : 382,944.24 = 150,170.57 : x
  2. Step 2: Convert to fraction form
    277,494.98/382,944.24 = 150,170.57/x
  3. Step 3: Cross multiply
    277,494.98x = 382,944.24 × 150,170.57
  4. Step 4: Simplify right side
    277,494.98x = 57,506,954,799.02
  5. Step 5: Solve for x
    x = 57,506,954,799.02/277,494.98
  6. Step 6: Final answer
    x = 207,236.02

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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.