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Finding the Fourth Proportional to 230,550.74, 345,106.46 and 169,829.46

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Solution

The fourth proportional to 230,550.74, 345,106.46 and 169,829.46 is: 254,214.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,550.74 : 345,106.46 = 169,829.46 : x
  2. Step 2: Convert to fraction form
    230,550.74/345,106.46 = 169,829.46/x
  3. Step 3: Cross multiply
    230,550.74x = 345,106.46 × 169,829.46
  4. Step 4: Simplify right side
    230,550.74x = 58,609,243,744.31
  5. Step 5: Solve for x
    x = 58,609,243,744.31/230,550.74
  6. Step 6: Final answer
    x = 254,214.08

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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.