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Finding the Fourth Proportional to 137,263.41, 189,407.57 and 76,837.41

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Solution

The fourth proportional to 137,263.41, 189,407.57 and 76,837.41 is: 106,026.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,263.41 : 189,407.57 = 76,837.41 : x
  2. Step 2: Convert to fraction form
    137,263.41/189,407.57 = 76,837.41/x
  3. Step 3: Cross multiply
    137,263.41x = 189,407.57 × 76,837.41
  4. Step 4: Simplify right side
    137,263.41x = 14,553,586,729.01
  5. Step 5: Solve for x
    x = 14,553,586,729.01/137,263.41
  6. Step 6: Final answer
    x = 106,026.70

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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.