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Finding the Fourth Proportional to 213,597.56, 320,028.12 and 141,505.52

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Solution

The fourth proportional to 213,597.56, 320,028.12 and 141,505.52 is: 212,014.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,597.56 : 320,028.12 = 141,505.52 : x
  2. Step 2: Convert to fraction form
    213,597.56/320,028.12 = 141,505.52/x
  3. Step 3: Cross multiply
    213,597.56x = 320,028.12 × 141,505.52
  4. Step 4: Simplify right side
    213,597.56x = 45,285,745,535.22
  5. Step 5: Solve for x
    x = 45,285,745,535.22/213,597.56
  6. Step 6: Final answer
    x = 212,014.34

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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.