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Finding the Fourth Proportional to 210,196.75, 290,071.52 and 134,745.25

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Solution

The fourth proportional to 210,196.75, 290,071.52 and 134,745.25 is: 185,948.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,196.75 : 290,071.52 = 134,745.25 : x
  2. Step 2: Convert to fraction form
    210,196.75/290,071.52 = 134,745.25/x
  3. Step 3: Cross multiply
    210,196.75x = 290,071.52 × 134,745.25
  4. Step 4: Simplify right side
    210,196.75x = 39,085,759,480.28
  5. Step 5: Solve for x
    x = 39,085,759,480.28/210,196.75
  6. Step 6: Final answer
    x = 185,948.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.