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Finding the Fourth Proportional to 184,469.10, 276,703.65 and 137,813.10

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Solution

The fourth proportional to 184,469.10, 276,703.65 and 137,813.10 is: 206,719.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,469.10 : 276,703.65 = 137,813.10 : x
  2. Step 2: Convert to fraction form
    184,469.10/276,703.65 = 137,813.10/x
  3. Step 3: Cross multiply
    184,469.10x = 276,703.65 × 137,813.10
  4. Step 4: Simplify right side
    184,469.10x = 38,133,387,787.82
  5. Step 5: Solve for x
    x = 38,133,387,787.82/184,469.10
  6. Step 6: Final answer
    x = 206,719.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.