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Finding the Fourth Proportional to 230,645.10, 345,852.45 and 105,845.10

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Solution

The fourth proportional to 230,645.10, 345,852.45 and 105,845.10 is: 158,714.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,645.10 : 345,852.45 = 105,845.10 : x
  2. Step 2: Convert to fraction form
    230,645.10/345,852.45 = 105,845.10/x
  3. Step 3: Cross multiply
    230,645.10x = 345,852.45 × 105,845.10
  4. Step 4: Simplify right side
    230,645.10x = 36,606,787,155.50
  5. Step 5: Solve for x
    x = 36,606,787,155.50/230,645.10
  6. Step 6: Final answer
    x = 158,714.78

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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.