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Finding the Fourth Proportional to 137,146.69, 189,278.13 and 76,732.64

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Solution

The fourth proportional to 137,146.69, 189,278.13 and 76,732.64 is: 105,899.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,146.69 : 189,278.13 = 76,732.64 : x
  2. Step 2: Convert to fraction form
    137,146.69/189,278.13 = 76,732.64/x
  3. Step 3: Cross multiply
    137,146.69x = 189,278.13 × 76,732.64
  4. Step 4: Simplify right side
    137,146.69x = 14,523,810,609.16
  5. Step 5: Solve for x
    x = 14,523,810,609.16/137,146.69
  6. Step 6: Final answer
    x = 105,899.83

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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.