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Finding the Fourth Proportional to 172,082.32, 258,114.30 and 53,740.12

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Solution

The fourth proportional to 172,082.32, 258,114.30 and 53,740.12 is: 80,607.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,082.32 : 258,114.30 = 53,740.12 : x
  2. Step 2: Convert to fraction form
    172,082.32/258,114.30 = 53,740.12/x
  3. Step 3: Cross multiply
    172,082.32x = 258,114.30 × 53,740.12
  4. Step 4: Simplify right side
    172,082.32x = 13,871,093,455.72
  5. Step 5: Solve for x
    x = 13,871,093,455.72/172,082.32
  6. Step 6: Final answer
    x = 80,607.31

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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.