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Finding the Fourth Proportional to 137,097.70, 189,193.52 and 76,667.66

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Solution

The fourth proportional to 137,097.70, 189,193.52 and 76,667.66 is: 105,800.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,097.70 : 189,193.52 = 76,667.66 : x
  2. Step 2: Convert to fraction form
    137,097.70/189,193.52 = 76,667.66/x
  3. Step 3: Cross multiply
    137,097.70x = 189,193.52 × 76,667.66
  4. Step 4: Simplify right side
    137,097.70x = 14,505,024,465.56
  5. Step 5: Solve for x
    x = 14,505,024,465.56/137,097.70
  6. Step 6: Final answer
    x = 105,800.64

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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.