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Finding the Fourth Proportional to 204,636.80, 282,412.16 and 124,071.68

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Solution

The fourth proportional to 204,636.80, 282,412.16 and 124,071.68 is: 171,227.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,636.80 : 282,412.16 = 124,071.68 : x
  2. Step 2: Convert to fraction form
    204,636.80/282,412.16 = 124,071.68/x
  3. Step 3: Cross multiply
    204,636.80x = 282,412.16 × 124,071.68
  4. Step 4: Simplify right side
    204,636.80x = 35,039,351,143.63
  5. Step 5: Solve for x
    x = 35,039,351,143.63/204,636.80
  6. Step 6: Final answer
    x = 171,227.03

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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.