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Finding the Fourth Proportional to 216,634.68, 298,917.27 and 121,142.16

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Solution

The fourth proportional to 216,634.68, 298,917.27 and 121,142.16 is: 167,154.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,634.68 : 298,917.27 = 121,142.16 : x
  2. Step 2: Convert to fraction form
    216,634.68/298,917.27 = 121,142.16/x
  3. Step 3: Cross multiply
    216,634.68x = 298,917.27 × 121,142.16
  4. Step 4: Simplify right side
    216,634.68x = 36,211,483,749.10
  5. Step 5: Solve for x
    x = 36,211,483,749.10/216,634.68
  6. Step 6: Final answer
    x = 167,154.60

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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.