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Finding the Fourth Proportional to 313,871.66, 470,868.12 and 133,954.46

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Solution

The fourth proportional to 313,871.66, 470,868.12 and 133,954.46 is: 200,957.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,871.66 : 470,868.12 = 133,954.46 : x
  2. Step 2: Convert to fraction form
    313,871.66/470,868.12 = 133,954.46/x
  3. Step 3: Cross multiply
    313,871.66x = 470,868.12 × 133,954.46
  4. Step 4: Simplify right side
    313,871.66x = 63,074,884,745.82
  5. Step 5: Solve for x
    x = 63,074,884,745.82/313,871.66
  6. Step 6: Final answer
    x = 200,957.57

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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.