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Finding the Fourth Proportional to 204,841, 282,680.58 and 110,633

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Solution

The fourth proportional to 204,841, 282,680.58 and 110,633 is: 152,673.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,841 : 282,680.58 = 110,633 : x
  2. Step 2: Convert to fraction form
    204,841/282,680.58 = 110,633/x
  3. Step 3: Cross multiply
    204,841x = 282,680.58 × 110,633
  4. Step 4: Simplify right side
    204,841x = 31,273,800,607.14
  5. Step 5: Solve for x
    x = 31,273,800,607.14/204,841
  6. Step 6: Final answer
    x = 152,673.54

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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.