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Finding the Fourth Proportional to 137,025.13, 205,413.13 and 52,731.54

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Solution

The fourth proportional to 137,025.13, 205,413.13 and 52,731.54 is: 79,049.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,025.13 : 205,413.13 = 52,731.54 : x
  2. Step 2: Convert to fraction form
    137,025.13/205,413.13 = 52,731.54/x
  3. Step 3: Cross multiply
    137,025.13x = 205,413.13 × 52,731.54
  4. Step 4: Simplify right side
    137,025.13x = 10,831,750,681.12
  5. Step 5: Solve for x
    x = 10,831,750,681.12/137,025.13
  6. Step 6: Final answer
    x = 79,049.37

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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.