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Finding the Fourth Proportional to 199,409.54, 275,178.45 and 118,795.31

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Solution

The fourth proportional to 199,409.54, 275,178.45 and 118,795.31 is: 163,933.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,409.54 : 275,178.45 = 118,795.31 : x
  2. Step 2: Convert to fraction form
    199,409.54/275,178.45 = 118,795.31/x
  3. Step 3: Cross multiply
    199,409.54x = 275,178.45 × 118,795.31
  4. Step 4: Simplify right side
    199,409.54x = 32,689,909,273.07
  5. Step 5: Solve for x
    x = 32,689,909,273.07/199,409.54
  6. Step 6: Final answer
    x = 163,933.53

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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.