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Finding the Fourth Proportional to 213,605.51, 294,770.54 and 116,805.24

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Solution

The fourth proportional to 213,605.51, 294,770.54 and 116,805.24 is: 161,188.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,605.51 : 294,770.54 = 116,805.24 : x
  2. Step 2: Convert to fraction form
    213,605.51/294,770.54 = 116,805.24/x
  3. Step 3: Cross multiply
    213,605.51x = 294,770.54 × 116,805.24
  4. Step 4: Simplify right side
    213,605.51x = 34,430,743,961.64
  5. Step 5: Solve for x
    x = 34,430,743,961.64/213,605.51
  6. Step 6: Final answer
    x = 161,188.47

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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.