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Finding the Fourth Proportional to 205,063.20, 307,594.80 and 184,327.20

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Solution

The fourth proportional to 205,063.20, 307,594.80 and 184,327.20 is: 276,490.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,063.20 : 307,594.80 = 184,327.20 : x
  2. Step 2: Convert to fraction form
    205,063.20/307,594.80 = 184,327.20/x
  3. Step 3: Cross multiply
    205,063.20x = 307,594.80 × 184,327.20
  4. Step 4: Simplify right side
    205,063.20x = 56,698,088,218.56
  5. Step 5: Solve for x
    x = 56,698,088,218.56/205,063.20
  6. Step 6: Final answer
    x = 276,490.80

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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.