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Finding the Fourth Proportional to 193,656.18, 290,498.76 and 53,413.50

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Solution

The fourth proportional to 193,656.18, 290,498.76 and 53,413.50 is: 80,124.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,656.18 : 290,498.76 = 53,413.50 : x
  2. Step 2: Convert to fraction form
    193,656.18/290,498.76 = 53,413.50/x
  3. Step 3: Cross multiply
    193,656.18x = 290,498.76 × 53,413.50
  4. Step 4: Simplify right side
    193,656.18x = 15,516,555,517.26
  5. Step 5: Solve for x
    x = 15,516,555,517.26/193,656.18
  6. Step 6: Final answer
    x = 80,124.25

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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.