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Finding the Fourth Proportional to 163,632.96, 245,760.64 and 101,736

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Solution

The fourth proportional to 163,632.96, 245,760.64 and 101,736 is: 152,797.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,632.96 : 245,760.64 = 101,736 : x
  2. Step 2: Convert to fraction form
    163,632.96/245,760.64 = 101,736/x
  3. Step 3: Cross multiply
    163,632.96x = 245,760.64 × 101,736
  4. Step 4: Simplify right side
    163,632.96x = 25,002,704,471.04
  5. Step 5: Solve for x
    x = 25,002,704,471.04/163,632.96
  6. Step 6: Final answer
    x = 152,797.48

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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.