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Finding the Fourth Proportional to 216,441.33, 298,695.65 and 120,952.05

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Solution

The fourth proportional to 216,441.33, 298,695.65 and 120,952.05 is: 166,917.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,441.33 : 298,695.65 = 120,952.05 : x
  2. Step 2: Convert to fraction form
    216,441.33/298,695.65 = 120,952.05/x
  3. Step 3: Cross multiply
    216,441.33x = 298,695.65 × 120,952.05
  4. Step 4: Simplify right side
    216,441.33x = 36,127,850,588.82
  5. Step 5: Solve for x
    x = 36,127,850,588.82/216,441.33
  6. Step 6: Final answer
    x = 166,917.52

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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.