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Finding the Fourth Proportional to 123,062.70, 184,302.45 and 83,405.10

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Solution

The fourth proportional to 123,062.70, 184,302.45 and 83,405.10 is: 124,910.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,062.70 : 184,302.45 = 83,405.10 : x
  2. Step 2: Convert to fraction form
    123,062.70/184,302.45 = 83,405.10/x
  3. Step 3: Cross multiply
    123,062.70x = 184,302.45 × 83,405.10
  4. Step 4: Simplify right side
    123,062.70x = 15,371,764,272.50
  5. Step 5: Solve for x
    x = 15,371,764,272.50/123,062.70
  6. Step 6: Final answer
    x = 124,910.02

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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.