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Finding the Fourth Proportional to 216,458.58, 298,712.31 and 120,965.28

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Solution

The fourth proportional to 216,458.58, 298,712.31 and 120,965.28 is: 166,931.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,458.58 : 298,712.31 = 120,965.28 : x
  2. Step 2: Convert to fraction form
    216,458.58/298,712.31 = 120,965.28/x
  3. Step 3: Cross multiply
    216,458.58x = 298,712.31 × 120,965.28
  4. Step 4: Simplify right side
    216,458.58x = 36,133,818,218.60
  5. Step 5: Solve for x
    x = 36,133,818,218.60/216,458.58
  6. Step 6: Final answer
    x = 166,931.79

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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.