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Finding the Fourth Proportional to 209,196, 313,794 and 61,452

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Solution

The fourth proportional to 209,196, 313,794 and 61,452 is: 92,178

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,196 : 313,794 = 61,452 : x
  2. Step 2: Convert to fraction form
    209,196/313,794 = 61,452/x
  3. Step 3: Cross multiply
    209,196x = 313,794 × 61,452
  4. Step 4: Simplify right side
    209,196x = 19,283,268,888
  5. Step 5: Solve for x
    x = 19,283,268,888/209,196
  6. Step 6: Final answer
    x = 92,178

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.