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Finding the Fourth Proportional to 184,745.81, 254,949.32 and 99,862.88

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Solution

The fourth proportional to 184,745.81, 254,949.32 and 99,862.88 is: 137,810.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,745.81 : 254,949.32 = 99,862.88 : x
  2. Step 2: Convert to fraction form
    184,745.81/254,949.32 = 99,862.88/x
  3. Step 3: Cross multiply
    184,745.81x = 254,949.32 × 99,862.88
  4. Step 4: Simplify right side
    184,745.81x = 25,459,972,324.15
  5. Step 5: Solve for x
    x = 25,459,972,324.15/184,745.81
  6. Step 6: Final answer
    x = 137,810.82

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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.