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Finding the Fourth Proportional to 236,400.80, 354,212.40 and 196,743.20

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Solution

The fourth proportional to 236,400.80, 354,212.40 and 196,743.20 is: 294,791.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,400.80 : 354,212.40 = 196,743.20 : x
  2. Step 2: Convert to fraction form
    236,400.80/354,212.40 = 196,743.20/x
  3. Step 3: Cross multiply
    236,400.80x = 354,212.40 × 196,743.20
  4. Step 4: Simplify right side
    236,400.80x = 69,688,881,055.68
  5. Step 5: Solve for x
    x = 69,688,881,055.68/236,400.80
  6. Step 6: Final answer
    x = 294,791.22

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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.