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Finding the Fourth Proportional to 169,476.86, 254,214.16 and 43,116

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Solution

The fourth proportional to 169,476.86, 254,214.16 and 43,116 is: 64,673.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,476.86 : 254,214.16 = 43,116 : x
  2. Step 2: Convert to fraction form
    169,476.86/254,214.16 = 43,116/x
  3. Step 3: Cross multiply
    169,476.86x = 254,214.16 × 43,116
  4. Step 4: Simplify right side
    169,476.86x = 10,960,697,722.56
  5. Step 5: Solve for x
    x = 10,960,697,722.56/169,476.86
  6. Step 6: Final answer
    x = 64,673.71

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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.