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Finding the Fourth Proportional to 313,696.13, 470,279.59 and 136,069.34

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Solution

The fourth proportional to 313,696.13, 470,279.59 and 136,069.34 is: 203,989.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,696.13 : 470,279.59 = 136,069.34 : x
  2. Step 2: Convert to fraction form
    313,696.13/470,279.59 = 136,069.34/x
  3. Step 3: Cross multiply
    313,696.13x = 470,279.59 × 136,069.34
  4. Step 4: Simplify right side
    313,696.13x = 63,990,630,735.20
  5. Step 5: Solve for x
    x = 63,990,630,735.20/313,696.13
  6. Step 6: Final answer
    x = 203,989.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.