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Finding the Fourth Proportional to 163,970.30, 226,329.18 and 96,003.20

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Solution

The fourth proportional to 163,970.30, 226,329.18 and 96,003.20 is: 132,513.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,970.30 : 226,329.18 = 96,003.20 : x
  2. Step 2: Convert to fraction form
    163,970.30/226,329.18 = 96,003.20/x
  3. Step 3: Cross multiply
    163,970.30x = 226,329.18 × 96,003.20
  4. Step 4: Simplify right side
    163,970.30x = 21,728,325,533.38
  5. Step 5: Solve for x
    x = 21,728,325,533.38/163,970.30
  6. Step 6: Final answer
    x = 132,513.79

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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.