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Finding the Fourth Proportional to 123,239.28, 184,986.54 and 75,888.48

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Solution

The fourth proportional to 123,239.28, 184,986.54 and 75,888.48 is: 113,911.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,239.28 : 184,986.54 = 75,888.48 : x
  2. Step 2: Convert to fraction form
    123,239.28/184,986.54 = 75,888.48/x
  3. Step 3: Cross multiply
    123,239.28x = 184,986.54 × 75,888.48
  4. Step 4: Simplify right side
    123,239.28x = 14,038,347,341.06
  5. Step 5: Solve for x
    x = 14,038,347,341.06/123,239.28
  6. Step 6: Final answer
    x = 113,911.31

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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.