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Finding the Fourth Proportional to 230,671.40, 345,954.78 and 105,892.52

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Solution

The fourth proportional to 230,671.40, 345,954.78 and 105,892.52 is: 158,814.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,671.40 : 345,954.78 = 105,892.52 : x
  2. Step 2: Convert to fraction form
    230,671.40/345,954.78 = 105,892.52/x
  3. Step 3: Cross multiply
    230,671.40x = 345,954.78 × 105,892.52
  4. Step 4: Simplify right side
    230,671.40x = 36,634,023,460.25
  5. Step 5: Solve for x
    x = 36,634,023,460.25/230,671.40
  6. Step 6: Final answer
    x = 158,814.76

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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.