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Finding the Fourth Proportional to 154,494.54, 213,092.32 and 141,788.68

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Solution

The fourth proportional to 154,494.54, 213,092.32 and 141,788.68 is: 195,567.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,494.54 : 213,092.32 = 141,788.68 : x
  2. Step 2: Convert to fraction form
    154,494.54/213,092.32 = 141,788.68/x
  3. Step 3: Cross multiply
    154,494.54x = 213,092.32 × 141,788.68
  4. Step 4: Simplify right side
    154,494.54x = 30,214,079,125.41
  5. Step 5: Solve for x
    x = 30,214,079,125.41/154,494.54
  6. Step 6: Final answer
    x = 195,567.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.