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Finding the Fourth Proportional to 229,523.62, 316,722.40 and 127,542.60

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Solution

The fourth proportional to 229,523.62, 316,722.40 and 127,542.60 is: 175,997.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,523.62 : 316,722.40 = 127,542.60 : x
  2. Step 2: Convert to fraction form
    229,523.62/316,722.40 = 127,542.60/x
  3. Step 3: Cross multiply
    229,523.62x = 316,722.40 × 127,542.60
  4. Step 4: Simplify right side
    229,523.62x = 40,395,598,374.24
  5. Step 5: Solve for x
    x = 40,395,598,374.24/229,523.62
  6. Step 6: Final answer
    x = 175,997.57

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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.