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Finding the Fourth Proportional to 152,413.40, 228,620.10 and 41,605.40

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Solution

The fourth proportional to 152,413.40, 228,620.10 and 41,605.40 is: 62,408.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,413.40 : 228,620.10 = 41,605.40 : x
  2. Step 2: Convert to fraction form
    152,413.40/228,620.10 = 41,605.40/x
  3. Step 3: Cross multiply
    152,413.40x = 228,620.10 × 41,605.40
  4. Step 4: Simplify right side
    152,413.40x = 9,511,830,708.54
  5. Step 5: Solve for x
    x = 9,511,830,708.54/152,413.40
  6. Step 6: Final answer
    x = 62,408.10

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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.