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Finding the Fourth Proportional to 257,413.80, 386,120.70 and 139,315.80

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Solution

The fourth proportional to 257,413.80, 386,120.70 and 139,315.80 is: 208,973.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,413.80 : 386,120.70 = 139,315.80 : x
  2. Step 2: Convert to fraction form
    257,413.80/386,120.70 = 139,315.80/x
  3. Step 3: Cross multiply
    257,413.80x = 386,120.70 × 139,315.80
  4. Step 4: Simplify right side
    257,413.80x = 53,792,714,217.06
  5. Step 5: Solve for x
    x = 53,792,714,217.06/257,413.80
  6. Step 6: Final answer
    x = 208,973.70

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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.