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Finding the Fourth Proportional to 137,153.04, 189,286.87 and 76,738.98

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Solution

The fourth proportional to 137,153.04, 189,286.87 and 76,738.98 is: 105,908.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,153.04 : 189,286.87 = 76,738.98 : x
  2. Step 2: Convert to fraction form
    137,153.04/189,286.87 = 76,738.98/x
  3. Step 3: Cross multiply
    137,153.04x = 189,286.87 × 76,738.98
  4. Step 4: Simplify right side
    137,153.04x = 14,525,681,331.19
  5. Step 5: Solve for x
    x = 14,525,681,331.19/137,153.04
  6. Step 6: Final answer
    x = 105,908.56

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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.