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Finding the Fourth Proportional to 216,136.97, 323,541.15 and 184,250.51

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Solution

The fourth proportional to 216,136.97, 323,541.15 and 184,250.51 is: 275,809.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,136.97 : 323,541.15 = 184,250.51 : x
  2. Step 2: Convert to fraction form
    216,136.97/323,541.15 = 184,250.51/x
  3. Step 3: Cross multiply
    216,136.97x = 323,541.15 × 184,250.51
  4. Step 4: Simplify right side
    216,136.97x = 59,612,623,654.45
  5. Step 5: Solve for x
    x = 59,612,623,654.45/216,136.97
  6. Step 6: Final answer
    x = 275,809.47

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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.