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Finding the Fourth Proportional to 313,820.52, 470,465.40 and 136,194

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Solution

The fourth proportional to 313,820.52, 470,465.40 and 136,194 is: 204,175.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,820.52 : 470,465.40 = 136,194 : x
  2. Step 2: Convert to fraction form
    313,820.52/470,465.40 = 136,194/x
  3. Step 3: Cross multiply
    313,820.52x = 470,465.40 × 136,194
  4. Step 4: Simplify right side
    313,820.52x = 64,074,564,687.60
  5. Step 5: Solve for x
    x = 64,074,564,687.60/313,820.52
  6. Step 6: Final answer
    x = 204,175.83

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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.