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Finding the Fourth Proportional to 255,216.54, 352,198.81 and 142,066.02

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Solution

The fourth proportional to 255,216.54, 352,198.81 and 142,066.02 is: 196,051.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,216.54 : 352,198.81 = 142,066.02 : x
  2. Step 2: Convert to fraction form
    255,216.54/352,198.81 = 142,066.02/x
  3. Step 3: Cross multiply
    255,216.54x = 352,198.81 × 142,066.02
  4. Step 4: Simplify right side
    255,216.54x = 50,035,483,185.44
  5. Step 5: Solve for x
    x = 50,035,483,185.44/255,216.54
  6. Step 6: Final answer
    x = 196,051.10

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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.