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Finding the Fourth Proportional to 136,996.76, 189,047.98 and 76,555.38

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Solution

The fourth proportional to 136,996.76, 189,047.98 and 76,555.38 is: 105,642.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,996.76 : 189,047.98 = 76,555.38 : x
  2. Step 2: Convert to fraction form
    136,996.76/189,047.98 = 76,555.38/x
  3. Step 3: Cross multiply
    136,996.76x = 189,047.98 × 76,555.38
  4. Step 4: Simplify right side
    136,996.76x = 14,472,639,947.13
  5. Step 5: Solve for x
    x = 14,472,639,947.13/136,996.76
  6. Step 6: Final answer
    x = 105,642.21

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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.