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Finding the Fourth Proportional to 152,268.64, 228,401.64 and 119,016.64

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Solution

The fourth proportional to 152,268.64, 228,401.64 and 119,016.64 is: 178,523.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,268.64 : 228,401.64 = 119,016.64 : x
  2. Step 2: Convert to fraction form
    152,268.64/228,401.64 = 119,016.64/x
  3. Step 3: Cross multiply
    152,268.64x = 228,401.64 × 119,016.64
  4. Step 4: Simplify right side
    152,268.64x = 27,183,595,763.29
  5. Step 5: Solve for x
    x = 27,183,595,763.29/152,268.64
  6. Step 6: Final answer
    x = 178,523.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.