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Finding the Fourth Proportional to 153,930.54, 230,919.30 and 65,184.51

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Solution

The fourth proportional to 153,930.54, 230,919.30 and 65,184.51 is: 97,786.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,930.54 : 230,919.30 = 65,184.51 : x
  2. Step 2: Convert to fraction form
    153,930.54/230,919.30 = 65,184.51/x
  3. Step 3: Cross multiply
    153,930.54x = 230,919.30 × 65,184.51
  4. Step 4: Simplify right side
    153,930.54x = 15,052,361,420.04
  5. Step 5: Solve for x
    x = 15,052,361,420.04/153,930.54
  6. Step 6: Final answer
    x = 97,786.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.