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Finding the Fourth Proportional to 102,256.11, 153,406.16 and 50,992.71

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Solution

The fourth proportional to 102,256.11, 153,406.16 and 50,992.71 is: 76,500.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,256.11 : 153,406.16 = 50,992.71 : x
  2. Step 2: Convert to fraction form
    102,256.11/153,406.16 = 50,992.71/x
  3. Step 3: Cross multiply
    102,256.11x = 153,406.16 × 50,992.71
  4. Step 4: Simplify right side
    102,256.11x = 7,822,596,340.09
  5. Step 5: Solve for x
    x = 7,822,596,340.09/102,256.11
  6. Step 6: Final answer
    x = 76,500.04

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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.