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Finding the Fourth Proportional to 301,100.08, 415,399.56 and 173,751.08

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Solution

The fourth proportional to 301,100.08, 415,399.56 and 173,751.08 is: 239,708.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,100.08 : 415,399.56 = 173,751.08 : x
  2. Step 2: Convert to fraction form
    301,100.08/415,399.56 = 173,751.08/x
  3. Step 3: Cross multiply
    301,100.08x = 415,399.56 × 173,751.08
  4. Step 4: Simplify right side
    301,100.08x = 72,176,122,181.52
  5. Step 5: Solve for x
    x = 72,176,122,181.52/301,100.08
  6. Step 6: Final answer
    x = 239,708.08

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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.