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Finding the Fourth Proportional to 184,592.69, 254,738.01 and 99,709.75

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Solution

The fourth proportional to 184,592.69, 254,738.01 and 99,709.75 is: 137,599.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,592.69 : 254,738.01 = 99,709.75 : x
  2. Step 2: Convert to fraction form
    184,592.69/254,738.01 = 99,709.75/x
  3. Step 3: Cross multiply
    184,592.69x = 254,738.01 × 99,709.75
  4. Step 4: Simplify right side
    184,592.69x = 25,399,863,292.60
  5. Step 5: Solve for x
    x = 25,399,863,292.60/184,592.69
  6. Step 6: Final answer
    x = 137,599.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.