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Finding the Fourth Proportional to 137,144.16, 189,276.44 and 76,718.16

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Solution

The fourth proportional to 137,144.16, 189,276.44 and 76,718.16 is: 105,880.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,144.16 : 189,276.44 = 76,718.16 : x
  2. Step 2: Convert to fraction form
    137,144.16/189,276.44 = 76,718.16/x
  3. Step 3: Cross multiply
    137,144.16x = 189,276.44 × 76,718.16
  4. Step 4: Simplify right side
    137,144.16x = 14,520,940,208.15
  5. Step 5: Solve for x
    x = 14,520,940,208.15/137,144.16
  6. Step 6: Final answer
    x = 105,880.85

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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.