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Finding the Fourth Proportional to 213,859.80, 295,122.94 and 118,364.44

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Solution

The fourth proportional to 213,859.80, 295,122.94 and 118,364.44 is: 163,340.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,859.80 : 295,122.94 = 118,364.44 : x
  2. Step 2: Convert to fraction form
    213,859.80/295,122.94 = 118,364.44/x
  3. Step 3: Cross multiply
    213,859.80x = 295,122.94 × 118,364.44
  4. Step 4: Simplify right side
    213,859.80x = 34,932,061,524.25
  5. Step 5: Solve for x
    x = 34,932,061,524.25/213,859.80
  6. Step 6: Final answer
    x = 163,340.94

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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.