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Finding the Fourth Proportional to 137,252.01, 189,405.92 and 76,822.64

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Solution

The fourth proportional to 137,252.01, 189,405.92 and 76,822.64 is: 106,014.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,252.01 : 189,405.92 = 76,822.64 : x
  2. Step 2: Convert to fraction form
    137,252.01/189,405.92 = 76,822.64/x
  3. Step 3: Cross multiply
    137,252.01x = 189,405.92 × 76,822.64
  4. Step 4: Simplify right side
    137,252.01x = 14,550,661,474.89
  5. Step 5: Solve for x
    x = 14,550,661,474.89/137,252.01
  6. Step 6: Final answer
    x = 106,014.20

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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.