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Finding the Fourth Proportional to 210,413.80, 315,467.10 and 85,690.60

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Solution

The fourth proportional to 210,413.80, 315,467.10 and 85,690.60 is: 128,473.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,413.80 : 315,467.10 = 85,690.60 : x
  2. Step 2: Convert to fraction form
    210,413.80/315,467.10 = 85,690.60/x
  3. Step 3: Cross multiply
    210,413.80x = 315,467.10 × 85,690.60
  4. Step 4: Simplify right side
    210,413.80x = 27,032,565,079.26
  5. Step 5: Solve for x
    x = 27,032,565,079.26/210,413.80
  6. Step 6: Final answer
    x = 128,473.35

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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.