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Finding the Fourth Proportional to 174,266.40, 261,294.14 and 78,186.02

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Solution

The fourth proportional to 174,266.40, 261,294.14 and 78,186.02 is: 117,231.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,266.40 : 261,294.14 = 78,186.02 : x
  2. Step 2: Convert to fraction form
    174,266.40/261,294.14 = 78,186.02/x
  3. Step 3: Cross multiply
    174,266.40x = 261,294.14 × 78,186.02
  4. Step 4: Simplify right side
    174,266.40x = 20,429,548,855.92
  5. Step 5: Solve for x
    x = 20,429,548,855.92/174,266.40
  6. Step 6: Final answer
    x = 117,231.71

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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.