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Finding the Fourth Proportional to 137,038.38, 189,105.24 and 76,596.98

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Solution

The fourth proportional to 137,038.38, 189,105.24 and 76,596.98 is: 105,699.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,038.38 : 189,105.24 = 76,596.98 : x
  2. Step 2: Convert to fraction form
    137,038.38/189,105.24 = 76,596.98/x
  3. Step 3: Cross multiply
    137,038.38x = 189,105.24 × 76,596.98
  4. Step 4: Simplify right side
    137,038.38x = 14,484,890,286.18
  5. Step 5: Solve for x
    x = 14,484,890,286.18/137,038.38
  6. Step 6: Final answer
    x = 105,699.51

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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.