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Finding the Fourth Proportional to 308,138.48, 462,207.51 and 116,049.14

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Solution

The fourth proportional to 308,138.48, 462,207.51 and 116,049.14 is: 174,073.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,138.48 : 462,207.51 = 116,049.14 : x
  2. Step 2: Convert to fraction form
    308,138.48/462,207.51 = 116,049.14/x
  3. Step 3: Cross multiply
    308,138.48x = 462,207.51 × 116,049.14
  4. Step 4: Simplify right side
    308,138.48x = 53,638,784,037.04
  5. Step 5: Solve for x
    x = 53,638,784,037.04/308,138.48
  6. Step 6: Final answer
    x = 174,073.63

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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.