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Finding the Fourth Proportional to 184,706.72, 254,896.44 and 99,823.58

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Solution

The fourth proportional to 184,706.72, 254,896.44 and 99,823.58 is: 137,757.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,706.72 : 254,896.44 = 99,823.58 : x
  2. Step 2: Convert to fraction form
    184,706.72/254,896.44 = 99,823.58/x
  3. Step 3: Cross multiply
    184,706.72x = 254,896.44 × 99,823.58
  4. Step 4: Simplify right side
    184,706.72x = 25,444,675,170.06
  5. Step 5: Solve for x
    x = 25,444,675,170.06/184,706.72
  6. Step 6: Final answer
    x = 137,757.17

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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.