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Finding the Fourth Proportional to 216,453.72, 298,712.52 and 120,960.64

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Solution

The fourth proportional to 216,453.72, 298,712.52 and 120,960.64 is: 166,929.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,453.72 : 298,712.52 = 120,960.64 : x
  2. Step 2: Convert to fraction form
    216,453.72/298,712.52 = 120,960.64/x
  3. Step 3: Cross multiply
    216,453.72x = 298,712.52 × 120,960.64
  4. Step 4: Simplify right side
    216,453.72x = 36,132,457,595.21
  5. Step 5: Solve for x
    x = 36,132,457,595.21/216,453.72
  6. Step 6: Final answer
    x = 166,929.25

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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.