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Finding the Fourth Proportional to 153,380.14, 230,082.50 and 53,538.12

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Solution

The fourth proportional to 153,380.14, 230,082.50 and 53,538.12 is: 80,311.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,380.14 : 230,082.50 = 53,538.12 : x
  2. Step 2: Convert to fraction form
    153,380.14/230,082.50 = 53,538.12/x
  3. Step 3: Cross multiply
    153,380.14x = 230,082.50 × 53,538.12
  4. Step 4: Simplify right side
    153,380.14x = 12,318,184,494.90
  5. Step 5: Solve for x
    x = 12,318,184,494.90/153,380.14
  6. Step 6: Final answer
    x = 80,311.47

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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.