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Finding the Fourth Proportional to 255,201.90, 352,175.16 and 142,024.65

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Solution

The fourth proportional to 255,201.90, 352,175.16 and 142,024.65 is: 195,992.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,201.90 : 352,175.16 = 142,024.65 : x
  2. Step 2: Convert to fraction form
    255,201.90/352,175.16 = 142,024.65/x
  3. Step 3: Cross multiply
    255,201.90x = 352,175.16 × 142,024.65
  4. Step 4: Simplify right side
    255,201.90x = 50,017,553,837.69
  5. Step 5: Solve for x
    x = 50,017,553,837.69/255,201.90
  6. Step 6: Final answer
    x = 195,992.09

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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.