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Finding the Fourth Proportional to 205,213.80, 307,820.70 and 184,477.80

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Solution

The fourth proportional to 205,213.80, 307,820.70 and 184,477.80 is: 276,716.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,213.80 : 307,820.70 = 184,477.80 : x
  2. Step 2: Convert to fraction form
    205,213.80/307,820.70 = 184,477.80/x
  3. Step 3: Cross multiply
    205,213.80x = 307,820.70 × 184,477.80
  4. Step 4: Simplify right side
    205,213.80x = 56,786,085,530.46
  5. Step 5: Solve for x
    x = 56,786,085,530.46/205,213.80
  6. Step 6: Final answer
    x = 276,716.70

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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.