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Finding the Fourth Proportional to 204,817.41, 282,532.25 and 128,203.51

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Solution

The fourth proportional to 204,817.41, 282,532.25 and 128,203.51 is: 176,848.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,817.41 : 282,532.25 = 128,203.51 : x
  2. Step 2: Convert to fraction form
    204,817.41/282,532.25 = 128,203.51/x
  3. Step 3: Cross multiply
    204,817.41x = 282,532.25 × 128,203.51
  4. Step 4: Simplify right side
    204,817.41x = 36,221,626,811.87
  5. Step 5: Solve for x
    x = 36,221,626,811.87/204,817.41
  6. Step 6: Final answer
    x = 176,848.38

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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.