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Finding the Fourth Proportional to 301,255.68, 415,768.32 and 167,128.32

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Solution

The fourth proportional to 301,255.68, 415,768.32 and 167,128.32 is: 230,656.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,255.68 : 415,768.32 = 167,128.32 : x
  2. Step 2: Convert to fraction form
    301,255.68/415,768.32 = 167,128.32/x
  3. Step 3: Cross multiply
    301,255.68x = 415,768.32 × 167,128.32
  4. Step 4: Simplify right side
    301,255.68x = 69,486,660,830.82
  5. Step 5: Solve for x
    x = 69,486,660,830.82/301,255.68
  6. Step 6: Final answer
    x = 230,656.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.