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Finding the Fourth Proportional to 277,434.32, 382,856.64 and 150,107.12

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Solution

The fourth proportional to 277,434.32, 382,856.64 and 150,107.12 is: 207,146.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,434.32 : 382,856.64 = 150,107.12 : x
  2. Step 2: Convert to fraction form
    277,434.32/382,856.64 = 150,107.12/x
  3. Step 3: Cross multiply
    277,434.32x = 382,856.64 × 150,107.12
  4. Step 4: Simplify right side
    277,434.32x = 57,469,507,603.28
  5. Step 5: Solve for x
    x = 57,469,507,603.28/277,434.32
  6. Step 6: Final answer
    x = 207,146.35

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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.