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Finding the Fourth Proportional to 229,794.54, 317,109.75 and 139,204.14

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Solution

The fourth proportional to 229,794.54, 317,109.75 and 139,204.14 is: 192,097.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,794.54 : 317,109.75 = 139,204.14 : x
  2. Step 2: Convert to fraction form
    229,794.54/317,109.75 = 139,204.14/x
  3. Step 3: Cross multiply
    229,794.54x = 317,109.75 × 139,204.14
  4. Step 4: Simplify right side
    229,794.54x = 44,142,990,034.37
  5. Step 5: Solve for x
    x = 44,142,990,034.37/229,794.54
  6. Step 6: Final answer
    x = 192,097.65

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Why These Related Problems?

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