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Finding the Fourth Proportional to 313,942.80, 470,903.76 and 136,450.02

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Solution

The fourth proportional to 313,942.80, 470,903.76 and 136,450.02 is: 204,670.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,942.80 : 470,903.76 = 136,450.02 : x
  2. Step 2: Convert to fraction form
    313,942.80/470,903.76 = 136,450.02/x
  3. Step 3: Cross multiply
    313,942.80x = 470,903.76 × 136,450.02
  4. Step 4: Simplify right side
    313,942.80x = 64,254,827,470.08
  5. Step 5: Solve for x
    x = 64,254,827,470.08/313,942.80
  6. Step 6: Final answer
    x = 204,670.49

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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.