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Finding the Fourth Proportional to 123,214.96, 184,803.24 and 40,108.40

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Solution

The fourth proportional to 123,214.96, 184,803.24 and 40,108.40 is: 60,156.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,214.96 : 184,803.24 = 40,108.40 : x
  2. Step 2: Convert to fraction form
    123,214.96/184,803.24 = 40,108.40/x
  3. Step 3: Cross multiply
    123,214.96x = 184,803.24 × 40,108.40
  4. Step 4: Simplify right side
    123,214.96x = 7,412,162,271.22
  5. Step 5: Solve for x
    x = 7,412,162,271.22/123,214.96
  6. Step 6: Final answer
    x = 60,156.35

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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.