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Finding the Fourth Proportional to 123,097.07, 184,676.68 and 34,350.50

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Solution

The fourth proportional to 123,097.07, 184,676.68 and 34,350.50 is: 51,534.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,097.07 : 184,676.68 = 34,350.50 : x
  2. Step 2: Convert to fraction form
    123,097.07/184,676.68 = 34,350.50/x
  3. Step 3: Cross multiply
    123,097.07x = 184,676.68 × 34,350.50
  4. Step 4: Simplify right side
    123,097.07x = 6,343,736,296.34
  5. Step 5: Solve for x
    x = 6,343,736,296.34/123,097.07
  6. Step 6: Final answer
    x = 51,534.42

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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.