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Finding the Fourth Proportional to 130,097.52, 194,986.17 and 73,984.50

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Solution

The fourth proportional to 130,097.52, 194,986.17 and 73,984.50 is: 110,885.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,097.52 : 194,986.17 = 73,984.50 : x
  2. Step 2: Convert to fraction form
    130,097.52/194,986.17 = 73,984.50/x
  3. Step 3: Cross multiply
    130,097.52x = 194,986.17 × 73,984.50
  4. Step 4: Simplify right side
    130,097.52x = 14,425,954,294.37
  5. Step 5: Solve for x
    x = 14,425,954,294.37/130,097.52
  6. Step 6: Final answer
    x = 110,885.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.