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Finding the Fourth Proportional to 137,232.88, 189,389.72 and 76,802.29

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Solution

The fourth proportional to 137,232.88, 189,389.72 and 76,802.29 is: 105,991.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,232.88 : 189,389.72 = 76,802.29 : x
  2. Step 2: Convert to fraction form
    137,232.88/189,389.72 = 76,802.29/x
  3. Step 3: Cross multiply
    137,232.88x = 189,389.72 × 76,802.29
  4. Step 4: Simplify right side
    137,232.88x = 14,545,564,198.46
  5. Step 5: Solve for x
    x = 14,545,564,198.46/137,232.88
  6. Step 6: Final answer
    x = 105,991.83

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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.