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Finding the Fourth Proportional to 307,521.90, 461,282.85 and 141,633.90

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Solution

The fourth proportional to 307,521.90, 461,282.85 and 141,633.90 is: 212,450.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,521.90 : 461,282.85 = 141,633.90 : x
  2. Step 2: Convert to fraction form
    307,521.90/461,282.85 = 141,633.90/x
  3. Step 3: Cross multiply
    307,521.90x = 461,282.85 × 141,633.90
  4. Step 4: Simplify right side
    307,521.90x = 65,333,289,048.62
  5. Step 5: Solve for x
    x = 65,333,289,048.62/307,521.90
  6. Step 6: Final answer
    x = 212,450.85

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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.