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Finding the Fourth Proportional to 301,292.68, 415,781.82 and 167,156.68

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Solution

The fourth proportional to 301,292.68, 415,781.82 and 167,156.68 is: 230,675.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,292.68 : 415,781.82 = 167,156.68 : x
  2. Step 2: Convert to fraction form
    301,292.68/415,781.82 = 167,156.68/x
  3. Step 3: Cross multiply
    301,292.68x = 415,781.82 × 167,156.68
  4. Step 4: Simplify right side
    301,292.68x = 69,500,708,635.56
  5. Step 5: Solve for x
    x = 69,500,708,635.56/301,292.68
  6. Step 6: Final answer
    x = 230,675.07

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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.