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Finding the Fourth Proportional to 136,982.66, 189,012 and 76,533.98

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Solution

The fourth proportional to 136,982.66, 189,012 and 76,533.98 is: 105,603.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,982.66 : 189,012 = 76,533.98 : x
  2. Step 2: Convert to fraction form
    136,982.66/189,012 = 76,533.98/x
  3. Step 3: Cross multiply
    136,982.66x = 189,012 × 76,533.98
  4. Step 4: Simplify right side
    136,982.66x = 14,465,840,627.76
  5. Step 5: Solve for x
    x = 14,465,840,627.76/136,982.66
  6. Step 6: Final answer
    x = 105,603.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.