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Finding the Fourth Proportional to 313,881.60, 470,556.88 and 136,255.04

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Solution

The fourth proportional to 313,881.60, 470,556.88 and 136,255.04 is: 204,267.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,881.60 : 470,556.88 = 136,255.04 : x
  2. Step 2: Convert to fraction form
    313,881.60/470,556.88 = 136,255.04/x
  3. Step 3: Cross multiply
    313,881.60x = 470,556.88 × 136,255.04
  4. Step 4: Simplify right side
    313,881.60x = 64,115,746,506.68
  5. Step 5: Solve for x
    x = 64,115,746,506.68/313,881.60
  6. Step 6: Final answer
    x = 204,267.30

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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.