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Finding the Fourth Proportional to 222,746.14, 307,403.67 and 122,144.14

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Solution

The fourth proportional to 222,746.14, 307,403.67 and 122,144.14 is: 168,566.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,746.14 : 307,403.67 = 122,144.14 : x
  2. Step 2: Convert to fraction form
    222,746.14/307,403.67 = 122,144.14/x
  3. Step 3: Cross multiply
    222,746.14x = 307,403.67 × 122,144.14
  4. Step 4: Simplify right side
    222,746.14x = 37,547,556,904.99
  5. Step 5: Solve for x
    x = 37,547,556,904.99/222,746.14
  6. Step 6: Final answer
    x = 168,566.59

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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.