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Finding the Fourth Proportional to 302,142.33, 453,413.14 and 142,263.99

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Solution

The fourth proportional to 302,142.33, 453,413.14 and 142,263.99 is: 213,489.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,142.33 : 453,413.14 = 142,263.99 : x
  2. Step 2: Convert to fraction form
    302,142.33/453,413.14 = 142,263.99/x
  3. Step 3: Cross multiply
    302,142.33x = 453,413.14 × 142,263.99
  4. Step 4: Simplify right side
    302,142.33x = 64,504,362,414.83
  5. Step 5: Solve for x
    x = 64,504,362,414.83/302,142.33
  6. Step 6: Final answer
    x = 213,489.99

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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.