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Finding the Fourth Proportional to 206,688.20, 310,032.30 and 184,137.80

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Solution

The fourth proportional to 206,688.20, 310,032.30 and 184,137.80 is: 276,206.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,688.20 : 310,032.30 = 184,137.80 : x
  2. Step 2: Convert to fraction form
    206,688.20/310,032.30 = 184,137.80/x
  3. Step 3: Cross multiply
    206,688.20x = 310,032.30 × 184,137.80
  4. Step 4: Simplify right side
    206,688.20x = 57,088,665,650.94
  5. Step 5: Solve for x
    x = 57,088,665,650.94/206,688.20
  6. Step 6: Final answer
    x = 276,206.70

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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.