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Finding the Fourth Proportional to 213,987.82, 295,299.55 and 118,492.46

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Solution

The fourth proportional to 213,987.82, 295,299.55 and 118,492.46 is: 163,517.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,987.82 : 295,299.55 = 118,492.46 : x
  2. Step 2: Convert to fraction form
    213,987.82/295,299.55 = 118,492.46/x
  3. Step 3: Cross multiply
    213,987.82x = 295,299.55 × 118,492.46
  4. Step 4: Simplify right side
    213,987.82x = 34,990,770,116.39
  5. Step 5: Solve for x
    x = 34,990,770,116.39/213,987.82
  6. Step 6: Final answer
    x = 163,517.58

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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.