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Finding the Fourth Proportional to 308,058.02, 462,051.98 and 83,435.97

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Solution

The fourth proportional to 308,058.02, 462,051.98 and 83,435.97 is: 125,144.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,058.02 : 462,051.98 = 83,435.97 : x
  2. Step 2: Convert to fraction form
    308,058.02/462,051.98 = 83,435.97/x
  3. Step 3: Cross multiply
    308,058.02x = 462,051.98 × 83,435.97
  4. Step 4: Simplify right side
    308,058.02x = 38,551,756,770.12
  5. Step 5: Solve for x
    x = 38,551,756,770.12/308,058.02
  6. Step 6: Final answer
    x = 125,144.47

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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.