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Finding the Fourth Proportional to 217,206.34, 299,744.74 and 132,323.34

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Solution

The fourth proportional to 217,206.34, 299,744.74 and 132,323.34 is: 182,606.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,206.34 : 299,744.74 = 132,323.34 : x
  2. Step 2: Convert to fraction form
    217,206.34/299,744.74 = 132,323.34/x
  3. Step 3: Cross multiply
    217,206.34x = 299,744.74 × 132,323.34
  4. Step 4: Simplify right side
    217,206.34x = 39,663,225,144.23
  5. Step 5: Solve for x
    x = 39,663,225,144.23/217,206.34
  6. Step 6: Final answer
    x = 182,606.20

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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.