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Finding the Fourth Proportional to 137,226.34, 189,374.92 and 76,803.64

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Solution

The fourth proportional to 137,226.34, 189,374.92 and 76,803.64 is: 105,990.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,226.34 : 189,374.92 = 76,803.64 : x
  2. Step 2: Convert to fraction form
    137,226.34/189,374.92 = 76,803.64/x
  3. Step 3: Cross multiply
    137,226.34x = 189,374.92 × 76,803.64
  4. Step 4: Simplify right side
    137,226.34x = 14,544,683,180.71
  5. Step 5: Solve for x
    x = 14,544,683,180.71/137,226.34
  6. Step 6: Final answer
    x = 105,990.46

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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.