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Finding the Fourth Proportional to 261,413.10, 392,119.65 and 202,291.20

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Solution

The fourth proportional to 261,413.10, 392,119.65 and 202,291.20 is: 303,436.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,413.10 : 392,119.65 = 202,291.20 : x
  2. Step 2: Convert to fraction form
    261,413.10/392,119.65 = 202,291.20/x
  3. Step 3: Cross multiply
    261,413.10x = 392,119.65 × 202,291.20
  4. Step 4: Simplify right side
    261,413.10x = 79,322,354,542.08
  5. Step 5: Solve for x
    x = 79,322,354,542.08/261,413.10
  6. Step 6: Final answer
    x = 303,436.80

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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.