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Finding the Fourth Proportional to 137,130.36, 189,257.42 and 76,704.36

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Solution

The fourth proportional to 137,130.36, 189,257.42 and 76,704.36 is: 105,861.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,130.36 : 189,257.42 = 76,704.36 : x
  2. Step 2: Convert to fraction form
    137,130.36/189,257.42 = 76,704.36/x
  3. Step 3: Cross multiply
    137,130.36x = 189,257.42 × 76,704.36
  4. Step 4: Simplify right side
    137,130.36x = 14,516,869,468.11
  5. Step 5: Solve for x
    x = 14,516,869,468.11/137,130.36
  6. Step 6: Final answer
    x = 105,861.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.