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Finding the Fourth Proportional to 172,413.40, 238,080 and 127,169.80

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Solution

The fourth proportional to 172,413.40, 238,080 and 127,169.80 is: 175,604.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,413.40 : 238,080 = 127,169.80 : x
  2. Step 2: Convert to fraction form
    172,413.40/238,080 = 127,169.80/x
  3. Step 3: Cross multiply
    172,413.40x = 238,080 × 127,169.80
  4. Step 4: Simplify right side
    172,413.40x = 30,276,585,984
  5. Step 5: Solve for x
    x = 30,276,585,984/172,413.40
  6. Step 6: Final answer
    x = 175,604.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.