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Finding the Fourth Proportional to 127,297.95, 190,974.47 and 48,413.67

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Solution

The fourth proportional to 127,297.95, 190,974.47 and 48,413.67 is: 72,630.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,297.95 : 190,974.47 = 48,413.67 : x
  2. Step 2: Convert to fraction form
    127,297.95/190,974.47 = 48,413.67/x
  3. Step 3: Cross multiply
    127,297.95x = 190,974.47 × 48,413.67
  4. Step 4: Simplify right side
    127,297.95x = 9,245,774,726.94
  5. Step 5: Solve for x
    x = 9,245,774,726.94/127,297.95
  6. Step 6: Final answer
    x = 72,630.98

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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.