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Finding the Fourth Proportional to 137,056.64, 189,113.72 and 76,627.76

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Solution

The fourth proportional to 137,056.64, 189,113.72 and 76,627.76 is: 105,732.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,056.64 : 189,113.72 = 76,627.76 : x
  2. Step 2: Convert to fraction form
    137,056.64/189,113.72 = 76,627.76/x
  3. Step 3: Cross multiply
    137,056.64x = 189,113.72 × 76,627.76
  4. Step 4: Simplify right side
    137,056.64x = 14,491,359,420.16
  5. Step 5: Solve for x
    x = 14,491,359,420.16/137,056.64
  6. Step 6: Final answer
    x = 105,732.64

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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.