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Finding the Fourth Proportional to 139,413.14, 209,002.14 and 60,467.90

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Solution

The fourth proportional to 139,413.14, 209,002.14 and 60,467.90 is: 90,650.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,413.14 : 209,002.14 = 60,467.90 : x
  2. Step 2: Convert to fraction form
    139,413.14/209,002.14 = 60,467.90/x
  3. Step 3: Cross multiply
    139,413.14x = 209,002.14 × 60,467.90
  4. Step 4: Simplify right side
    139,413.14x = 12,637,920,501.31
  5. Step 5: Solve for x
    x = 12,637,920,501.31/139,413.14
  6. Step 6: Final answer
    x = 90,650.86

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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.