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Finding the Fourth Proportional to 120,667.30, 181,024.54 and 36,434.32

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Solution

The fourth proportional to 120,667.30, 181,024.54 and 36,434.32 is: 54,658.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,667.30 : 181,024.54 = 36,434.32 : x
  2. Step 2: Convert to fraction form
    120,667.30/181,024.54 = 36,434.32/x
  3. Step 3: Cross multiply
    120,667.30x = 181,024.54 × 36,434.32
  4. Step 4: Simplify right side
    120,667.30x = 6,595,505,474.57
  5. Step 5: Solve for x
    x = 6,595,505,474.57/120,667.30
  6. Step 6: Final answer
    x = 54,658.60

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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.