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Finding the Fourth Proportional to 184,632.50, 276,978.25 and 78,017.46

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Solution

The fourth proportional to 184,632.50, 276,978.25 and 78,017.46 is: 117,038.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,632.50 : 276,978.25 = 78,017.46 : x
  2. Step 2: Convert to fraction form
    184,632.50/276,978.25 = 78,017.46/x
  3. Step 3: Cross multiply
    184,632.50x = 276,978.25 × 78,017.46
  4. Step 4: Simplify right side
    184,632.50x = 21,609,139,540.25
  5. Step 5: Solve for x
    x = 21,609,139,540.25/184,632.50
  6. Step 6: Final answer
    x = 117,038.66

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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.