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Finding the Fourth Proportional to 137,175.95, 205,783.63 and 42,413.52

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Solution

The fourth proportional to 137,175.95, 205,783.63 and 42,413.52 is: 63,626.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,175.95 : 205,783.63 = 42,413.52 : x
  2. Step 2: Convert to fraction form
    137,175.95/205,783.63 = 42,413.52/x
  3. Step 3: Cross multiply
    137,175.95x = 205,783.63 × 42,413.52
  4. Step 4: Simplify right side
    137,175.95x = 8,728,008,106.68
  5. Step 5: Solve for x
    x = 8,728,008,106.68/137,175.95
  6. Step 6: Final answer
    x = 63,626.37

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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.