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Finding the Fourth Proportional to 136,993.38, 189,038.21 and 76,555.63

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Solution

The fourth proportional to 136,993.38, 189,038.21 and 76,555.63 is: 105,639.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,993.38 : 189,038.21 = 76,555.63 : x
  2. Step 2: Convert to fraction form
    136,993.38/189,038.21 = 76,555.63/x
  3. Step 3: Cross multiply
    136,993.38x = 189,038.21 × 76,555.63
  4. Step 4: Simplify right side
    136,993.38x = 14,471,939,114.14
  5. Step 5: Solve for x
    x = 14,471,939,114.14/136,993.38
  6. Step 6: Final answer
    x = 105,639.70

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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.