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Finding the Fourth Proportional to 217,037.37, 299,513.79 and 120,244.08

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Solution

The fourth proportional to 217,037.37, 299,513.79 and 120,244.08 is: 165,938.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,037.37 : 299,513.79 = 120,244.08 : x
  2. Step 2: Convert to fraction form
    217,037.37/299,513.79 = 120,244.08/x
  3. Step 3: Cross multiply
    217,037.37x = 299,513.79 × 120,244.08
  4. Step 4: Simplify right side
    217,037.37x = 36,014,760,125.86
  5. Step 5: Solve for x
    x = 36,014,760,125.86/217,037.37
  6. Step 6: Final answer
    x = 165,938.06

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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.