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Finding the Fourth Proportional to 123,057.32, 184,583.34 and 34,308.45

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Solution

The fourth proportional to 123,057.32, 184,583.34 and 34,308.45 is: 51,461.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,057.32 : 184,583.34 = 34,308.45 : x
  2. Step 2: Convert to fraction form
    123,057.32/184,583.34 = 34,308.45/x
  3. Step 3: Cross multiply
    123,057.32x = 184,583.34 × 34,308.45
  4. Step 4: Simplify right side
    123,057.32x = 6,332,768,291.22
  5. Step 5: Solve for x
    x = 6,332,768,291.22/123,057.32
  6. Step 6: Final answer
    x = 51,461.94

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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.