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Finding the Fourth Proportional to 308,135.48, 462,203.01 and 116,046.14

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Solution

The fourth proportional to 308,135.48, 462,203.01 and 116,046.14 is: 174,069.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,135.48 : 462,203.01 = 116,046.14 : x
  2. Step 2: Convert to fraction form
    308,135.48/462,203.01 = 116,046.14/x
  3. Step 3: Cross multiply
    308,135.48x = 462,203.01 × 116,046.14
  4. Step 4: Simplify right side
    308,135.48x = 53,636,872,895.87
  5. Step 5: Solve for x
    x = 53,636,872,895.87/308,135.48
  6. Step 6: Final answer
    x = 174,069.13

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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.