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Finding the Fourth Proportional to 213,016.92, 319,196.92 and 104,822.08

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Solution

The fourth proportional to 213,016.92, 319,196.92 and 104,822.08 is: 157,071.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,016.92 : 319,196.92 = 104,822.08 : x
  2. Step 2: Convert to fraction form
    213,016.92/319,196.92 = 104,822.08/x
  3. Step 3: Cross multiply
    213,016.92x = 319,196.92 × 104,822.08
  4. Step 4: Simplify right side
    213,016.92x = 33,458,885,083.99
  5. Step 5: Solve for x
    x = 33,458,885,083.99/213,016.92
  6. Step 6: Final answer
    x = 157,071.49

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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.