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Finding the Fourth Proportional to 205,168.09, 283,130.88 and 119,148.23

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Solution

The fourth proportional to 205,168.09, 283,130.88 and 119,148.23 is: 164,423.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,168.09 : 283,130.88 = 119,148.23 : x
  2. Step 2: Convert to fraction form
    205,168.09/283,130.88 = 119,148.23/x
  3. Step 3: Cross multiply
    205,168.09x = 283,130.88 × 119,148.23
  4. Step 4: Simplify right side
    205,168.09x = 33,734,542,092.56
  5. Step 5: Solve for x
    x = 33,734,542,092.56/205,168.09
  6. Step 6: Final answer
    x = 164,423.92

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