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Finding the Fourth Proportional to 137,232.38, 189,389.03 and 76,801.79

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Solution

The fourth proportional to 137,232.38, 189,389.03 and 76,801.79 is: 105,991.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,232.38 : 189,389.03 = 76,801.79 : x
  2. Step 2: Convert to fraction form
    137,232.38/189,389.03 = 76,801.79/x
  3. Step 3: Cross multiply
    137,232.38x = 189,389.03 × 76,801.79
  4. Step 4: Simplify right side
    137,232.38x = 14,545,416,510.36
  5. Step 5: Solve for x
    x = 14,545,416,510.36/137,232.38
  6. Step 6: Final answer
    x = 105,991.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.