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Finding the Fourth Proportional to 197,051.86, 294,498.06 and 143,855.86

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Solution

The fourth proportional to 197,051.86, 294,498.06 and 143,855.86 is: 214,995.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,051.86 : 294,498.06 = 143,855.86 : x
  2. Step 2: Convert to fraction form
    197,051.86/294,498.06 = 143,855.86/x
  3. Step 3: Cross multiply
    197,051.86x = 294,498.06 × 143,855.86
  4. Step 4: Simplify right side
    197,051.86x = 42,365,270,947.02
  5. Step 5: Solve for x
    x = 42,365,270,947.02/197,051.86
  6. Step 6: Final answer
    x = 214,995.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.