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Finding the Fourth Proportional to 137,308.74, 189,489.59 and 76,892.16

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Solution

The fourth proportional to 137,308.74, 189,489.59 and 76,892.16 is: 106,113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,308.74 : 189,489.59 = 76,892.16 : x
  2. Step 2: Convert to fraction form
    137,308.74/189,489.59 = 76,892.16/x
  3. Step 3: Cross multiply
    137,308.74x = 189,489.59 × 76,892.16
  4. Step 4: Simplify right side
    137,308.74x = 14,570,263,872.61
  5. Step 5: Solve for x
    x = 14,570,263,872.61/137,308.74
  6. Step 6: Final answer
    x = 106,113.16

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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.