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Finding the Fourth Proportional to 205,586.81, 308,223.93 and 142,238.53

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Solution

The fourth proportional to 205,586.81, 308,223.93 and 142,238.53 is: 213,249.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,586.81 : 308,223.93 = 142,238.53 : x
  2. Step 2: Convert to fraction form
    205,586.81/308,223.93 = 142,238.53/x
  3. Step 3: Cross multiply
    205,586.81x = 308,223.93 × 142,238.53
  4. Step 4: Simplify right side
    205,586.81x = 43,841,319,632.70
  5. Step 5: Solve for x
    x = 43,841,319,632.70/205,586.81
  6. Step 6: Final answer
    x = 213,249.67

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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.