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Finding the Fourth Proportional to 213,034.80, 319,782.60 and 119,722.80

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Solution

The fourth proportional to 213,034.80, 319,782.60 and 119,722.80 is: 179,713.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,034.80 : 319,782.60 = 119,722.80 : x
  2. Step 2: Convert to fraction form
    213,034.80/319,782.60 = 119,722.80/x
  3. Step 3: Cross multiply
    213,034.80x = 319,782.60 × 119,722.80
  4. Step 4: Simplify right side
    213,034.80x = 38,285,268,263.28
  5. Step 5: Solve for x
    x = 38,285,268,263.28/213,034.80
  6. Step 6: Final answer
    x = 179,713.68

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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.