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Finding the Fourth Proportional to 197,798.72, 296,746.67 and 57,558.56

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Solution

The fourth proportional to 197,798.72, 296,746.67 and 57,558.56 is: 86,351.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,798.72 : 296,746.67 = 57,558.56 : x
  2. Step 2: Convert to fraction form
    197,798.72/296,746.67 = 57,558.56/x
  3. Step 3: Cross multiply
    197,798.72x = 296,746.67 × 57,558.56
  4. Step 4: Simplify right side
    197,798.72x = 17,080,309,670.16
  5. Step 5: Solve for x
    x = 17,080,309,670.16/197,798.72
  6. Step 6: Final answer
    x = 86,351.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.