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Finding the Fourth Proportional to 226,903.55, 313,223.82 and 161,534.59

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Solution

The fourth proportional to 226,903.55, 313,223.82 and 161,534.59 is: 222,986.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,903.55 : 313,223.82 = 161,534.59 : x
  2. Step 2: Convert to fraction form
    226,903.55/313,223.82 = 161,534.59/x
  3. Step 3: Cross multiply
    226,903.55x = 313,223.82 × 161,534.59
  4. Step 4: Simplify right side
    226,903.55x = 50,596,478,968.14
  5. Step 5: Solve for x
    x = 50,596,478,968.14/226,903.55
  6. Step 6: Final answer
    x = 222,986.72

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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.