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Finding the Fourth Proportional to 242,313.18, 333,575.19 and 199,804.38

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Solution

The fourth proportional to 242,313.18, 333,575.19 and 199,804.38 is: 275,056.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,313.18 : 333,575.19 = 199,804.38 : x
  2. Step 2: Convert to fraction form
    242,313.18/333,575.19 = 199,804.38/x
  3. Step 3: Cross multiply
    242,313.18x = 333,575.19 × 199,804.38
  4. Step 4: Simplify right side
    242,313.18x = 66,649,784,021.33
  5. Step 5: Solve for x
    x = 66,649,784,021.33/242,313.18
  6. Step 6: Final answer
    x = 275,056.37

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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.