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Finding the Fourth Proportional to 248,032.80, 342,295.20 and 140,616

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Solution

The fourth proportional to 248,032.80, 342,295.20 and 140,616 is: 194,055.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,032.80 : 342,295.20 = 140,616 : x
  2. Step 2: Convert to fraction form
    248,032.80/342,295.20 = 140,616/x
  3. Step 3: Cross multiply
    248,032.80x = 342,295.20 × 140,616
  4. Step 4: Simplify right side
    248,032.80x = 48,132,181,843.20
  5. Step 5: Solve for x
    x = 48,132,181,843.20/248,032.80
  6. Step 6: Final answer
    x = 194,055.71

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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.