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Finding the Fourth Proportional to 213,160.40, 319,682.28 and 80,030.42

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Solution

The fourth proportional to 213,160.40, 319,682.28 and 80,030.42 is: 120,023.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,160.40 : 319,682.28 = 80,030.42 : x
  2. Step 2: Convert to fraction form
    213,160.40/319,682.28 = 80,030.42/x
  3. Step 3: Cross multiply
    213,160.40x = 319,682.28 × 80,030.42
  4. Step 4: Simplify right side
    213,160.40x = 25,584,307,134.96
  5. Step 5: Solve for x
    x = 25,584,307,134.96/213,160.40
  6. Step 6: Final answer
    x = 120,023.73

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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.