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Finding the Fourth Proportional to 216,274.65, 298,459.65 and 120,784.96

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Solution

The fourth proportional to 216,274.65, 298,459.65 and 120,784.96 is: 166,683.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,274.65 : 298,459.65 = 120,784.96 : x
  2. Step 2: Convert to fraction form
    216,274.65/298,459.65 = 120,784.96/x
  3. Step 3: Cross multiply
    216,274.65x = 298,459.65 × 120,784.96
  4. Step 4: Simplify right side
    216,274.65x = 36,049,436,886.86
  5. Step 5: Solve for x
    x = 36,049,436,886.86/216,274.65
  6. Step 6: Final answer
    x = 166,683.60

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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.