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Finding the Fourth Proportional to 192,448.32, 265,584.48 and 107,563.20

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Solution

The fourth proportional to 192,448.32, 265,584.48 and 107,563.20 is: 148,440.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,448.32 : 265,584.48 = 107,563.20 : x
  2. Step 2: Convert to fraction form
    192,448.32/265,584.48 = 107,563.20/x
  3. Step 3: Cross multiply
    192,448.32x = 265,584.48 × 107,563.20
  4. Step 4: Simplify right side
    192,448.32x = 28,567,116,539.14
  5. Step 5: Solve for x
    x = 28,567,116,539.14/192,448.32
  6. Step 6: Final answer
    x = 148,440.46

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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.