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Finding the Fourth Proportional to 137,143.64, 189,275.73 and 76,717.64

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Solution

The fourth proportional to 137,143.64, 189,275.73 and 76,717.64 is: 105,880.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,143.64 : 189,275.73 = 76,717.64 : x
  2. Step 2: Convert to fraction form
    137,143.64/189,275.73 = 76,717.64/x
  3. Step 3: Cross multiply
    137,143.64x = 189,275.73 × 76,717.64
  4. Step 4: Simplify right side
    137,143.64x = 14,520,787,314.88
  5. Step 5: Solve for x
    x = 14,520,787,314.88/137,143.64
  6. Step 6: Final answer
    x = 105,880.14

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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.