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Finding the Fourth Proportional to 184,300, 254,346.72 and 103,735.20

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Solution

The fourth proportional to 184,300, 254,346.72 and 103,735.20 is: 143,161.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,300 : 254,346.72 = 103,735.20 : x
  2. Step 2: Convert to fraction form
    184,300/254,346.72 = 103,735.20/x
  3. Step 3: Cross multiply
    184,300x = 254,346.72 × 103,735.20
  4. Step 4: Simplify right side
    184,300x = 26,384,707,868.54
  5. Step 5: Solve for x
    x = 26,384,707,868.54/184,300
  6. Step 6: Final answer
    x = 143,161.74

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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.