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Finding the Fourth Proportional to 308,136.48, 462,204.51 and 116,047.14

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Solution

The fourth proportional to 308,136.48, 462,204.51 and 116,047.14 is: 174,070.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,136.48 : 462,204.51 = 116,047.14 : x
  2. Step 2: Convert to fraction form
    308,136.48/462,204.51 = 116,047.14/x
  3. Step 3: Cross multiply
    308,136.48x = 462,204.51 × 116,047.14
  4. Step 4: Simplify right side
    308,136.48x = 53,637,511,480.60
  5. Step 5: Solve for x
    x = 53,637,511,480.60/308,136.48
  6. Step 6: Final answer
    x = 174,070.63

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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.