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Finding the Fourth Proportional to 190,716.84, 263,006.34 and 114,223.68

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Solution

The fourth proportional to 190,716.84, 263,006.34 and 114,223.68 is: 157,519.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,716.84 : 263,006.34 = 114,223.68 : x
  2. Step 2: Convert to fraction form
    190,716.84/263,006.34 = 114,223.68/x
  3. Step 3: Cross multiply
    190,716.84x = 263,006.34 × 114,223.68
  4. Step 4: Simplify right side
    190,716.84x = 30,041,552,018.13
  5. Step 5: Solve for x
    x = 30,041,552,018.13/190,716.84
  6. Step 6: Final answer
    x = 157,519.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.