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Finding the Fourth Proportional to 210,051, 315,116.73 and 115,229.25

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Solution

The fourth proportional to 210,051, 315,116.73 and 115,229.25 is: 172,865.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,051 : 315,116.73 = 115,229.25 : x
  2. Step 2: Convert to fraction form
    210,051/315,116.73 = 115,229.25/x
  3. Step 3: Cross multiply
    210,051x = 315,116.73 × 115,229.25
  4. Step 4: Simplify right side
    210,051x = 36,310,664,460.35
  5. Step 5: Solve for x
    x = 36,310,664,460.35/210,051
  6. Step 6: Final answer
    x = 172,865.94

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