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Finding the Fourth Proportional to 123,040.80, 184,507.20 and 56,458.80

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Solution

The fourth proportional to 123,040.80, 184,507.20 and 56,458.80 is: 84,663.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,040.80 : 184,507.20 = 56,458.80 : x
  2. Step 2: Convert to fraction form
    123,040.80/184,507.20 = 56,458.80/x
  3. Step 3: Cross multiply
    123,040.80x = 184,507.20 × 56,458.80
  4. Step 4: Simplify right side
    123,040.80x = 10,417,055,103.36
  5. Step 5: Solve for x
    x = 10,417,055,103.36/123,040.80
  6. Step 6: Final answer
    x = 84,663.42

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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.