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Finding the Fourth Proportional to 161,698.28, 223,143.75 and 90,078.48

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Solution

The fourth proportional to 161,698.28, 223,143.75 and 90,078.48 is: 124,308.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,698.28 : 223,143.75 = 90,078.48 : x
  2. Step 2: Convert to fraction form
    161,698.28/223,143.75 = 90,078.48/x
  3. Step 3: Cross multiply
    161,698.28x = 223,143.75 × 90,078.48
  4. Step 4: Simplify right side
    161,698.28x = 20,100,449,821.50
  5. Step 5: Solve for x
    x = 20,100,449,821.50/161,698.28
  6. Step 6: Final answer
    x = 124,308.38

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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.