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Finding the Fourth Proportional to 205,229.40, 307,260.90 and 184,234.20

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Solution

The fourth proportional to 205,229.40, 307,260.90 and 184,234.20 is: 275,827.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,229.40 : 307,260.90 = 184,234.20 : x
  2. Step 2: Convert to fraction form
    205,229.40/307,260.90 = 184,234.20/x
  3. Step 3: Cross multiply
    205,229.40x = 307,260.90 × 184,234.20
  4. Step 4: Simplify right side
    205,229.40x = 56,607,966,102.78
  5. Step 5: Solve for x
    x = 56,607,966,102.78/205,229.40
  6. Step 6: Final answer
    x = 275,827.76

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1.5x scale

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.