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Finding the Fourth Proportional to 231,792.69, 347,807.69 and 110,350.66

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Solution

The fourth proportional to 231,792.69, 347,807.69 and 110,350.66 is: 165,582.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,792.69 : 347,807.69 = 110,350.66 : x
  2. Step 2: Convert to fraction form
    231,792.69/347,807.69 = 110,350.66/x
  3. Step 3: Cross multiply
    231,792.69x = 347,807.69 × 110,350.66
  4. Step 4: Simplify right side
    231,792.69x = 38,380,808,144.58
  5. Step 5: Solve for x
    x = 38,380,808,144.58/231,792.69
  6. Step 6: Final answer
    x = 165,582.48

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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.