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Finding the Fourth Proportional to 208,913.18, 313,249.59 and 111,419.51

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Solution

The fourth proportional to 208,913.18, 313,249.59 and 111,419.51 is: 167,065.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,913.18 : 313,249.59 = 111,419.51 : x
  2. Step 2: Convert to fraction form
    208,913.18/313,249.59 = 111,419.51/x
  3. Step 3: Cross multiply
    208,913.18x = 313,249.59 × 111,419.51
  4. Step 4: Simplify right side
    208,913.18x = 34,902,114,259.25
  5. Step 5: Solve for x
    x = 34,902,114,259.25/208,913.18
  6. Step 6: Final answer
    x = 167,065.17

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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.