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Finding the Fourth Proportional to 308,137.48, 462,206.01 and 116,048.14

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Solution

The fourth proportional to 308,137.48, 462,206.01 and 116,048.14 is: 174,072.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,137.48 : 462,206.01 = 116,048.14 : x
  2. Step 2: Convert to fraction form
    308,137.48/462,206.01 = 116,048.14/x
  3. Step 3: Cross multiply
    308,137.48x = 462,206.01 × 116,048.14
  4. Step 4: Simplify right side
    308,137.48x = 53,638,147,757.32
  5. Step 5: Solve for x
    x = 53,638,147,757.32/308,137.48
  6. Step 6: Final answer
    x = 174,072.13

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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.