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Finding the Fourth Proportional to 231,356.60, 347,315.70 and 147,116.60

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Solution

The fourth proportional to 231,356.60, 347,315.70 and 147,116.60 is: 220,853.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,356.60 : 347,315.70 = 147,116.60 : x
  2. Step 2: Convert to fraction form
    231,356.60/347,315.70 = 147,116.60/x
  3. Step 3: Cross multiply
    231,356.60x = 347,315.70 × 147,116.60
  4. Step 4: Simplify right side
    231,356.60x = 51,095,904,910.62
  5. Step 5: Solve for x
    x = 51,095,904,910.62/231,356.60
  6. Step 6: Final answer
    x = 220,853.46

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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.