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Finding the Fourth Proportional to 277,308.12, 382,684.32 and 149,983.68

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Solution

The fourth proportional to 277,308.12, 382,684.32 and 149,983.68 is: 206,977.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,308.12 : 382,684.32 = 149,983.68 : x
  2. Step 2: Convert to fraction form
    277,308.12/382,684.32 = 149,983.68/x
  3. Step 3: Cross multiply
    277,308.12x = 382,684.32 × 149,983.68
  4. Step 4: Simplify right side
    277,308.12x = 57,396,402,591.90
  5. Step 5: Solve for x
    x = 57,396,402,591.90/277,308.12
  6. Step 6: Final answer
    x = 206,977.00

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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.