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Finding the Fourth Proportional to 277,102.64, 382,146.31 and 174,950.62

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Solution

The fourth proportional to 277,102.64, 382,146.31 and 174,950.62 is: 241,270.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,102.64 : 382,146.31 = 174,950.62 : x
  2. Step 2: Convert to fraction form
    277,102.64/382,146.31 = 174,950.62/x
  3. Step 3: Cross multiply
    277,102.64x = 382,146.31 × 174,950.62
  4. Step 4: Simplify right side
    277,102.64x = 66,856,733,865.21
  5. Step 5: Solve for x
    x = 66,856,733,865.21/277,102.64
  6. Step 6: Final answer
    x = 241,270.65

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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.