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Finding the Fourth Proportional to 189,142.32, 283,723.20 and 48,902.16

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Solution

The fourth proportional to 189,142.32, 283,723.20 and 48,902.16 is: 73,355.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,142.32 : 283,723.20 = 48,902.16 : x
  2. Step 2: Convert to fraction form
    189,142.32/283,723.20 = 48,902.16/x
  3. Step 3: Cross multiply
    189,142.32x = 283,723.20 × 48,902.16
  4. Step 4: Simplify right side
    189,142.32x = 13,874,677,322.11
  5. Step 5: Solve for x
    x = 13,874,677,322.11/189,142.32
  6. Step 6: Final answer
    x = 73,355.75

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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.