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Finding the Fourth Proportional to 202,953.30, 304,423.67 and 96,413.95

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Solution

The fourth proportional to 202,953.30, 304,423.67 and 96,413.95 is: 144,617.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,953.30 : 304,423.67 = 96,413.95 : x
  2. Step 2: Convert to fraction form
    202,953.30/304,423.67 = 96,413.95/x
  3. Step 3: Cross multiply
    202,953.30x = 304,423.67 × 96,413.95
  4. Step 4: Simplify right side
    202,953.30x = 29,350,686,865.05
  5. Step 5: Solve for x
    x = 29,350,686,865.05/202,953.30
  6. Step 6: Final answer
    x = 144,617.94

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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.