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Finding the Fourth Proportional to 301,265.75, 415,746.75 and 167,129.75

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Solution

The fourth proportional to 301,265.75, 415,746.75 and 167,129.75 is: 230,639.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,265.75 : 415,746.75 = 167,129.75 : x
  2. Step 2: Convert to fraction form
    301,265.75/415,746.75 = 167,129.75/x
  3. Step 3: Cross multiply
    301,265.75x = 415,746.75 × 167,129.75
  4. Step 4: Simplify right side
    301,265.75x = 69,483,650,390.81
  5. Step 5: Solve for x
    x = 69,483,650,390.81/301,265.75
  6. Step 6: Final answer
    x = 230,639.06

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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.