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Finding the Fourth Proportional to 188,345.86, 259,802.14 and 111,813

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Solution

The fourth proportional to 188,345.86, 259,802.14 and 111,813 is: 154,233.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,345.86 : 259,802.14 = 111,813 : x
  2. Step 2: Convert to fraction form
    188,345.86/259,802.14 = 111,813/x
  3. Step 3: Cross multiply
    188,345.86x = 259,802.14 × 111,813
  4. Step 4: Simplify right side
    188,345.86x = 29,049,256,679.82
  5. Step 5: Solve for x
    x = 29,049,256,679.82/188,345.86
  6. Step 6: Final answer
    x = 154,233.58

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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.