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Finding the Fourth Proportional to 210,452.90, 290,431.23 and 114,961.16

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Solution

The fourth proportional to 210,452.90, 290,431.23 and 114,961.16 is: 158,649.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,452.90 : 290,431.23 = 114,961.16 : x
  2. Step 2: Convert to fraction form
    210,452.90/290,431.23 = 114,961.16/x
  3. Step 3: Cross multiply
    210,452.90x = 290,431.23 × 114,961.16
  4. Step 4: Simplify right side
    210,452.90x = 33,388,311,101.03
  5. Step 5: Solve for x
    x = 33,388,311,101.03/210,452.90
  6. Step 6: Final answer
    x = 158,649.80

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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.