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Finding the Fourth Proportional to 204,506, 282,218.28 and 115,083.92

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Solution

The fourth proportional to 204,506, 282,218.28 and 115,083.92 is: 158,815.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,506 : 282,218.28 = 115,083.92 : x
  2. Step 2: Convert to fraction form
    204,506/282,218.28 = 115,083.92/x
  3. Step 3: Cross multiply
    204,506x = 282,218.28 × 115,083.92
  4. Step 4: Simplify right side
    204,506x = 32,478,785,958.06
  5. Step 5: Solve for x
    x = 32,478,785,958.06/204,506
  6. Step 6: Final answer
    x = 158,815.81

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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.