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Finding the Fourth Proportional to 214,987.37, 296,763.08 and 161,427.13

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Solution

The fourth proportional to 214,987.37, 296,763.08 and 161,427.13 is: 222,829.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,987.37 : 296,763.08 = 161,427.13 : x
  2. Step 2: Convert to fraction form
    214,987.37/296,763.08 = 161,427.13/x
  3. Step 3: Cross multiply
    214,987.37x = 296,763.08 × 161,427.13
  4. Step 4: Simplify right side
    214,987.37x = 47,905,610,745.32
  5. Step 5: Solve for x
    x = 47,905,610,745.32/214,987.37
  6. Step 6: Final answer
    x = 222,829.89

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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.