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Finding the Fourth Proportional to 205,418.63, 283,475.76 and 114,790.21

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Solution

The fourth proportional to 205,418.63, 283,475.76 and 114,790.21 is: 158,409.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,418.63 : 283,475.76 = 114,790.21 : x
  2. Step 2: Convert to fraction form
    205,418.63/283,475.76 = 114,790.21/x
  3. Step 3: Cross multiply
    205,418.63x = 283,475.76 × 114,790.21
  4. Step 4: Simplify right side
    205,418.63x = 32,540,240,602.93
  5. Step 5: Solve for x
    x = 32,540,240,602.93/205,418.63
  6. Step 6: Final answer
    x = 158,409.39

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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.