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Finding the Fourth Proportional to 255,486.64, 352,582.44 and 142,309.44

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Solution

The fourth proportional to 255,486.64, 352,582.44 and 142,309.44 is: 196,393.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,486.64 : 352,582.44 = 142,309.44 : x
  2. Step 2: Convert to fraction form
    255,486.64/352,582.44 = 142,309.44/x
  3. Step 3: Cross multiply
    255,486.64x = 352,582.44 × 142,309.44
  4. Step 4: Simplify right side
    255,486.64x = 50,175,809,590.23
  5. Step 5: Solve for x
    x = 50,175,809,590.23/255,486.64
  6. Step 6: Final answer
    x = 196,393.09

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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.