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Finding the Fourth Proportional to 216,438.16, 298,678.93 and 120,945.64

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Solution

The fourth proportional to 216,438.16, 298,678.93 and 120,945.64 is: 166,901.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,438.16 : 298,678.93 = 120,945.64 : x
  2. Step 2: Convert to fraction form
    216,438.16/298,678.93 = 120,945.64/x
  3. Step 3: Cross multiply
    216,438.16x = 298,678.93 × 120,945.64
  4. Step 4: Simplify right side
    216,438.16x = 36,123,914,343.37
  5. Step 5: Solve for x
    x = 36,123,914,343.37/216,438.16
  6. Step 6: Final answer
    x = 166,901.78

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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.