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Finding the Fourth Proportional to 137,175.44, 205,782.88 and 42,413.02

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Solution

The fourth proportional to 137,175.44, 205,782.88 and 42,413.02 is: 63,625.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,175.44 : 205,782.88 = 42,413.02 : x
  2. Step 2: Convert to fraction form
    137,175.44/205,782.88 = 42,413.02/x
  3. Step 3: Cross multiply
    137,175.44x = 205,782.88 × 42,413.02
  4. Step 4: Simplify right side
    137,175.44x = 8,727,872,784.61
  5. Step 5: Solve for x
    x = 8,727,872,784.61/137,175.44
  6. Step 6: Final answer
    x = 63,625.62

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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.