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Finding the Fourth Proportional to 153,764.34, 212,194.59 and 86,696.34

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Solution

The fourth proportional to 153,764.34, 212,194.59 and 86,696.34 is: 119,640.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,764.34 : 212,194.59 = 86,696.34 : x
  2. Step 2: Convert to fraction form
    153,764.34/212,194.59 = 86,696.34/x
  3. Step 3: Cross multiply
    153,764.34x = 212,194.59 × 86,696.34
  4. Step 4: Simplify right side
    153,764.34x = 18,396,494,320.80
  5. Step 5: Solve for x
    x = 18,396,494,320.80/153,764.34
  6. Step 6: Final answer
    x = 119,640.84

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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.