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Finding the Fourth Proportional to 313,822.50, 470,468.40 and 136,195.98

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Solution

The fourth proportional to 313,822.50, 470,468.40 and 136,195.98 is: 204,178.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,822.50 : 470,468.40 = 136,195.98 : x
  2. Step 2: Convert to fraction form
    313,822.50/470,468.40 = 136,195.98/x
  3. Step 3: Cross multiply
    313,822.50x = 470,468.40 × 136,195.98
  4. Step 4: Simplify right side
    313,822.50x = 64,075,904,797.03
  5. Step 5: Solve for x
    x = 64,075,904,797.03/313,822.50
  6. Step 6: Final answer
    x = 204,178.81

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