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Finding the Fourth Proportional to 197,871.65, 296,098.01 and 171,309.01

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Solution

The fourth proportional to 197,871.65, 296,098.01 and 171,309.01 is: 256,349.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,871.65 : 296,098.01 = 171,309.01 : x
  2. Step 2: Convert to fraction form
    197,871.65/296,098.01 = 171,309.01/x
  3. Step 3: Cross multiply
    197,871.65x = 296,098.01 × 171,309.01
  4. Step 4: Simplify right side
    197,871.65x = 50,724,254,619.04
  5. Step 5: Solve for x
    x = 50,724,254,619.04/197,871.65
  6. Step 6: Final answer
    x = 256,349.28

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