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Finding the Fourth Proportional to 204,896, 282,758.64 and 115,472

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Solution

The fourth proportional to 204,896, 282,758.64 and 115,472 is: 159,352.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,896 : 282,758.64 = 115,472 : x
  2. Step 2: Convert to fraction form
    204,896/282,758.64 = 115,472/x
  3. Step 3: Cross multiply
    204,896x = 282,758.64 × 115,472
  4. Step 4: Simplify right side
    204,896x = 32,650,705,678.08
  5. Step 5: Solve for x
    x = 32,650,705,678.08/204,896
  6. Step 6: Final answer
    x = 159,352.58

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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.