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Finding the Fourth Proportional to 184,427.28, 254,514.72 and 112,806

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Solution

The fourth proportional to 184,427.28, 254,514.72 and 112,806 is: 155,675.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,427.28 : 254,514.72 = 112,806 : x
  2. Step 2: Convert to fraction form
    184,427.28/254,514.72 = 112,806/x
  3. Step 3: Cross multiply
    184,427.28x = 254,514.72 × 112,806
  4. Step 4: Simplify right side
    184,427.28x = 28,710,787,504.32
  5. Step 5: Solve for x
    x = 28,710,787,504.32/184,427.28
  6. Step 6: Final answer
    x = 155,675.38

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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.