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Finding the Fourth Proportional to 313,201.49, 469,572.19 and 99,846.68

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Solution

The fourth proportional to 313,201.49, 469,572.19 and 99,846.68 is: 149,696.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,201.49 : 469,572.19 = 99,846.68 : x
  2. Step 2: Convert to fraction form
    313,201.49/469,572.19 = 99,846.68/x
  3. Step 3: Cross multiply
    313,201.49x = 469,572.19 × 99,846.68
  4. Step 4: Simplify right side
    313,201.49x = 46,885,221,594.35
  5. Step 5: Solve for x
    x = 46,885,221,594.35/313,201.49
  6. Step 6: Final answer
    x = 149,696.68

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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.