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Finding the Fourth Proportional to 202,952.95, 304,423.15 and 96,413.60

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Solution

The fourth proportional to 202,952.95, 304,423.15 and 96,413.60 is: 144,617.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,952.95 : 304,423.15 = 96,413.60 : x
  2. Step 2: Convert to fraction form
    202,952.95/304,423.15 = 96,413.60/x
  3. Step 3: Cross multiply
    202,952.95x = 304,423.15 × 96,413.60
  4. Step 4: Simplify right side
    202,952.95x = 29,350,532,575.90
  5. Step 5: Solve for x
    x = 29,350,532,575.90/202,952.95
  6. Step 6: Final answer
    x = 144,617.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.