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Finding the Fourth Proportional to 137,274.50, 189,437.35 and 76,845.64

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Solution

The fourth proportional to 137,274.50, 189,437.35 and 76,845.64 is: 106,046.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,274.50 : 189,437.35 = 76,845.64 : x
  2. Step 2: Convert to fraction form
    137,274.50/189,437.35 = 76,845.64/x
  3. Step 3: Cross multiply
    137,274.50x = 189,437.35 × 76,845.64
  4. Step 4: Simplify right side
    137,274.50x = 14,557,433,377.24
  5. Step 5: Solve for x
    x = 14,557,433,377.24/137,274.50
  6. Step 6: Final answer
    x = 106,046.16

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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.