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Finding the Fourth Proportional to 137,006.19, 189,077.42 and 76,579.38

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Solution

The fourth proportional to 137,006.19, 189,077.42 and 76,579.38 is: 105,684.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,006.19 : 189,077.42 = 76,579.38 : x
  2. Step 2: Convert to fraction form
    137,006.19/189,077.42 = 76,579.38/x
  3. Step 3: Cross multiply
    137,006.19x = 189,077.42 × 76,579.38
  4. Step 4: Simplify right side
    137,006.19x = 14,479,431,212.70
  5. Step 5: Solve for x
    x = 14,479,431,212.70/137,006.19
  6. Step 6: Final answer
    x = 105,684.50

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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.