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Finding the Fourth Proportional to 205,598.77, 283,804.32 and 184,049.70

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Solution

The fourth proportional to 205,598.77, 283,804.32 and 184,049.70 is: 254,058.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,598.77 : 283,804.32 = 184,049.70 : x
  2. Step 2: Convert to fraction form
    205,598.77/283,804.32 = 184,049.70/x
  3. Step 3: Cross multiply
    205,598.77x = 283,804.32 × 184,049.70
  4. Step 4: Simplify right side
    205,598.77x = 52,234,099,954.70
  5. Step 5: Solve for x
    x = 52,234,099,954.70/205,598.77
  6. Step 6: Final answer
    x = 254,058.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.