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Finding the Fourth Proportional to 216,274.40, 298,459.31 and 120,784.71

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Solution

The fourth proportional to 216,274.40, 298,459.31 and 120,784.71 is: 166,683.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,274.40 : 298,459.31 = 120,784.71 : x
  2. Step 2: Convert to fraction form
    216,274.40/298,459.31 = 120,784.71/x
  3. Step 3: Cross multiply
    216,274.40x = 298,459.31 × 120,784.71
  4. Step 4: Simplify right side
    216,274.40x = 36,049,320,601.23
  5. Step 5: Solve for x
    x = 36,049,320,601.23/216,274.40
  6. Step 6: Final answer
    x = 166,683.26

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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.