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Finding the Fourth Proportional to 216,387.57, 298,609.33 and 120,894.98

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Solution

The fourth proportional to 216,387.57, 298,609.33 and 120,894.98 is: 166,831.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,387.57 : 298,609.33 = 120,894.98 : x
  2. Step 2: Convert to fraction form
    216,387.57/298,609.33 = 120,894.98/x
  3. Step 3: Cross multiply
    216,387.57x = 298,609.33 × 120,894.98
  4. Step 4: Simplify right side
    216,387.57x = 36,100,368,978.16
  5. Step 5: Solve for x
    x = 36,100,368,978.16/216,387.57
  6. Step 6: Final answer
    x = 166,831.99

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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.