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Finding the Fourth Proportional to 308,277.07, 462,415.82 and 83,637.48

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Solution

The fourth proportional to 308,277.07, 462,415.82 and 83,637.48 is: 125,456.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,277.07 : 462,415.82 = 83,637.48 : x
  2. Step 2: Convert to fraction form
    308,277.07/462,415.82 = 83,637.48/x
  3. Step 3: Cross multiply
    308,277.07x = 462,415.82 × 83,637.48
  4. Step 4: Simplify right side
    308,277.07x = 38,675,295,873.54
  5. Step 5: Solve for x
    x = 38,675,295,873.54/308,277.07
  6. Step 6: Final answer
    x = 125,456.29

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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.