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Finding the Fourth Proportional to 213,969.06, 295,281.90 and 117,177

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Solution

The fourth proportional to 213,969.06, 295,281.90 and 117,177 is: 161,706.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,969.06 : 295,281.90 = 117,177 : x
  2. Step 2: Convert to fraction form
    213,969.06/295,281.90 = 117,177/x
  3. Step 3: Cross multiply
    213,969.06x = 295,281.90 × 117,177
  4. Step 4: Simplify right side
    213,969.06x = 34,600,247,196.30
  5. Step 5: Solve for x
    x = 34,600,247,196.30/213,969.06
  6. Step 6: Final answer
    x = 161,706.78

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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.