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Finding the Fourth Proportional to 216,246.75, 298,419.33 and 119,457.27

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Solution

The fourth proportional to 216,246.75, 298,419.33 and 119,457.27 is: 164,850.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,246.75 : 298,419.33 = 119,457.27 : x
  2. Step 2: Convert to fraction form
    216,246.75/298,419.33 = 119,457.27/x
  3. Step 3: Cross multiply
    216,246.75x = 298,419.33 × 119,457.27
  4. Step 4: Simplify right side
    216,246.75x = 35,648,358,253.05
  5. Step 5: Solve for x
    x = 35,648,358,253.05/216,246.75
  6. Step 6: Final answer
    x = 164,850.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.