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Finding the Fourth Proportional to 204,497.51, 282,133.49 and 118,409.49

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Solution

The fourth proportional to 204,497.51, 282,133.49 and 118,409.49 is: 163,362.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,497.51 : 282,133.49 = 118,409.49 : x
  2. Step 2: Convert to fraction form
    204,497.51/282,133.49 = 118,409.49/x
  3. Step 3: Cross multiply
    204,497.51x = 282,133.49 × 118,409.49
  4. Step 4: Simplify right side
    204,497.51x = 33,407,282,958.84
  5. Step 5: Solve for x
    x = 33,407,282,958.84/204,497.51
  6. Step 6: Final answer
    x = 163,362.79

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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.