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Finding the Fourth Proportional to 123,006.60, 184,394.70 and 96,337.80

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Solution

The fourth proportional to 123,006.60, 184,394.70 and 96,337.80 is: 144,416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,006.60 : 184,394.70 = 96,337.80 : x
  2. Step 2: Convert to fraction form
    123,006.60/184,394.70 = 96,337.80/x
  3. Step 3: Cross multiply
    123,006.60x = 184,394.70 × 96,337.80
  4. Step 4: Simplify right side
    123,006.60x = 17,764,179,729.66
  5. Step 5: Solve for x
    x = 17,764,179,729.66/123,006.60
  6. Step 6: Final answer
    x = 144,416.48

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Why These Related Problems?

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