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Finding the Fourth Proportional to 282,495.84, 389,747.70 and 161,593.08

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Solution

The fourth proportional to 282,495.84, 389,747.70 and 161,593.08 is: 222,943.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,495.84 : 389,747.70 = 161,593.08 : x
  2. Step 2: Convert to fraction form
    282,495.84/389,747.70 = 161,593.08/x
  3. Step 3: Cross multiply
    282,495.84x = 389,747.70 × 161,593.08
  4. Step 4: Simplify right side
    282,495.84x = 62,980,531,265.92
  5. Step 5: Solve for x
    x = 62,980,531,265.92/282,495.84
  6. Step 6: Final answer
    x = 222,943.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.