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Finding the Fourth Proportional to 137,084.54, 189,175.58 and 76,655.30

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Solution

The fourth proportional to 137,084.54, 189,175.58 and 76,655.30 is: 105,783.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,084.54 : 189,175.58 = 76,655.30 : x
  2. Step 2: Convert to fraction form
    137,084.54/189,175.58 = 76,655.30/x
  3. Step 3: Cross multiply
    137,084.54x = 189,175.58 × 76,655.30
  4. Step 4: Simplify right side
    137,084.54x = 14,501,309,508.42
  5. Step 5: Solve for x
    x = 14,501,309,508.42/137,084.54
  6. Step 6: Final answer
    x = 105,783.70

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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.