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Finding the Fourth Proportional to 152,096.33, 228,176.65 and 57,324.51

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Solution

The fourth proportional to 152,096.33, 228,176.65 and 57,324.51 is: 85,998.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,096.33 : 228,176.65 = 57,324.51 : x
  2. Step 2: Convert to fraction form
    152,096.33/228,176.65 = 57,324.51/x
  3. Step 3: Cross multiply
    152,096.33x = 228,176.65 × 57,324.51
  4. Step 4: Simplify right side
    152,096.33x = 13,080,114,403.90
  5. Step 5: Solve for x
    x = 13,080,114,403.90/152,096.33
  6. Step 6: Final answer
    x = 85,998.88

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