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Finding the Fourth Proportional to 147,413.67, 203,431.05 and 80,345.67

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Solution

The fourth proportional to 147,413.67, 203,431.05 and 80,345.67 is: 110,877.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,413.67 : 203,431.05 = 80,345.67 : x
  2. Step 2: Convert to fraction form
    147,413.67/203,431.05 = 80,345.67/x
  3. Step 3: Cross multiply
    147,413.67x = 203,431.05 × 80,345.67
  4. Step 4: Simplify right side
    147,413.67x = 16,344,804,011.05
  5. Step 5: Solve for x
    x = 16,344,804,011.05/147,413.67
  6. Step 6: Final answer
    x = 110,877.13

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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.