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Finding the Fourth Proportional to 168,078.64, 231,875.04 and 120,314.56

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Solution

The fourth proportional to 168,078.64, 231,875.04 and 120,314.56 is: 165,981.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,078.64 : 231,875.04 = 120,314.56 : x
  2. Step 2: Convert to fraction form
    168,078.64/231,875.04 = 120,314.56/x
  3. Step 3: Cross multiply
    168,078.64x = 231,875.04 × 120,314.56
  4. Step 4: Simplify right side
    168,078.64x = 27,897,943,412.58
  5. Step 5: Solve for x
    x = 27,897,943,412.58/168,078.64
  6. Step 6: Final answer
    x = 165,981.49

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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.