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Finding the Fourth Proportional to 123,152.95, 184,436.20 and 78,641.83

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Solution

The fourth proportional to 123,152.95, 184,436.20 and 78,641.83 is: 117,775.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,152.95 : 184,436.20 = 78,641.83 : x
  2. Step 2: Convert to fraction form
    123,152.95/184,436.20 = 78,641.83/x
  3. Step 3: Cross multiply
    123,152.95x = 184,436.20 × 78,641.83
  4. Step 4: Simplify right side
    123,152.95x = 14,504,400,286.25
  5. Step 5: Solve for x
    x = 14,504,400,286.25/123,152.95
  6. Step 6: Final answer
    x = 117,775.50

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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.