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Finding the Fourth Proportional to 137,187.72, 189,326.39 and 76,754.75

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Solution

The fourth proportional to 137,187.72, 189,326.39 and 76,754.75 is: 105,925.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,187.72 : 189,326.39 = 76,754.75 : x
  2. Step 2: Convert to fraction form
    137,187.72/189,326.39 = 76,754.75/x
  3. Step 3: Cross multiply
    137,187.72x = 189,326.39 × 76,754.75
  4. Step 4: Simplify right side
    137,187.72x = 14,531,698,402.45
  5. Step 5: Solve for x
    x = 14,531,698,402.45/137,187.72
  6. Step 6: Final answer
    x = 105,925.65

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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.