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Finding the Fourth Proportional to 216,903.69, 299,324.16 and 121,410.36

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Solution

The fourth proportional to 216,903.69, 299,324.16 and 121,410.36 is: 167,544.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,903.69 : 299,324.16 = 121,410.36 : x
  2. Step 2: Convert to fraction form
    216,903.69/299,324.16 = 121,410.36/x
  3. Step 3: Cross multiply
    216,903.69x = 299,324.16 × 121,410.36
  4. Step 4: Simplify right side
    216,903.69x = 36,341,054,022.30
  5. Step 5: Solve for x
    x = 36,341,054,022.30/216,903.69
  6. Step 6: Final answer
    x = 167,544.66

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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.