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Finding the Fourth Proportional to 137,390.38, 189,595.28 and 76,960.58

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Solution

The fourth proportional to 137,390.38, 189,595.28 and 76,960.58 is: 106,203.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,390.38 : 189,595.28 = 76,960.58 : x
  2. Step 2: Convert to fraction form
    137,390.38/189,595.28 = 76,960.58/x
  3. Step 3: Cross multiply
    137,390.38x = 189,595.28 × 76,960.58
  4. Step 4: Simplify right side
    137,390.38x = 14,591,363,024.96
  5. Step 5: Solve for x
    x = 14,591,363,024.96/137,390.38
  6. Step 6: Final answer
    x = 106,203.68

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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.