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Finding the Fourth Proportional to 184,215.24, 254,199 and 103,641

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Solution

The fourth proportional to 184,215.24, 254,199 and 103,641 is: 143,014.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,215.24 : 254,199 = 103,641 : x
  2. Step 2: Convert to fraction form
    184,215.24/254,199 = 103,641/x
  3. Step 3: Cross multiply
    184,215.24x = 254,199 × 103,641
  4. Step 4: Simplify right side
    184,215.24x = 26,345,438,559
  5. Step 5: Solve for x
    x = 26,345,438,559/184,215.24
  6. Step 6: Final answer
    x = 143,014.44

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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.