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Finding the Fourth Proportional to 193,458.40, 290,187.60 and 146,456.80

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Solution

The fourth proportional to 193,458.40, 290,187.60 and 146,456.80 is: 219,685.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,458.40 : 290,187.60 = 146,456.80 : x
  2. Step 2: Convert to fraction form
    193,458.40/290,187.60 = 146,456.80/x
  3. Step 3: Cross multiply
    193,458.40x = 290,187.60 × 146,456.80
  4. Step 4: Simplify right side
    193,458.40x = 42,499,947,295.68
  5. Step 5: Solve for x
    x = 42,499,947,295.68/193,458.40
  6. Step 6: Final answer
    x = 219,685.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.