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Finding the Fourth Proportional to 213,910.65, 295,200.20 and 117,112.89

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Solution

The fourth proportional to 213,910.65, 295,200.20 and 117,112.89 is: 161,617.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,910.65 : 295,200.20 = 117,112.89 : x
  2. Step 2: Convert to fraction form
    213,910.65/295,200.20 = 117,112.89/x
  3. Step 3: Cross multiply
    213,910.65x = 295,200.20 × 117,112.89
  4. Step 4: Simplify right side
    213,910.65x = 34,571,748,876.48
  5. Step 5: Solve for x
    x = 34,571,748,876.48/213,910.65
  6. Step 6: Final answer
    x = 161,617.71

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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.