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Finding the Fourth Proportional to 130,201.84, 179,697.68 and 82,459.60

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Solution

The fourth proportional to 130,201.84, 179,697.68 and 82,459.60 is: 113,806.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,201.84 : 179,697.68 = 82,459.60 : x
  2. Step 2: Convert to fraction form
    130,201.84/179,697.68 = 82,459.60/x
  3. Step 3: Cross multiply
    130,201.84x = 179,697.68 × 82,459.60
  4. Step 4: Simplify right side
    130,201.84x = 14,817,798,813.73
  5. Step 5: Solve for x
    x = 14,817,798,813.73/130,201.84
  6. Step 6: Final answer
    x = 113,806.37

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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.