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Finding the Fourth Proportional to 216,649.67, 298,970.96 and 119,851.03

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Solution

The fourth proportional to 216,649.67, 298,970.96 and 119,851.03 is: 165,391.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,649.67 : 298,970.96 = 119,851.03 : x
  2. Step 2: Convert to fraction form
    216,649.67/298,970.96 = 119,851.03/x
  3. Step 3: Cross multiply
    216,649.67x = 298,970.96 × 119,851.03
  4. Step 4: Simplify right side
    216,649.67x = 35,831,977,496.09
  5. Step 5: Solve for x
    x = 35,831,977,496.09/216,649.67
  6. Step 6: Final answer
    x = 165,391.33

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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.