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Finding the Fourth Proportional to 255,997, 353,275.86 and 142,819.72

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Solution

The fourth proportional to 255,997, 353,275.86 and 142,819.72 is: 197,091.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,997 : 353,275.86 = 142,819.72 : x
  2. Step 2: Convert to fraction form
    255,997/353,275.86 = 142,819.72/x
  3. Step 3: Cross multiply
    255,997x = 353,275.86 × 142,819.72
  4. Step 4: Simplify right side
    255,997x = 50,454,759,407.96
  5. Step 5: Solve for x
    x = 50,454,759,407.96/255,997
  6. Step 6: Final answer
    x = 197,091.21

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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.