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Finding the Fourth Proportional to 154,885.50, 232,190.55 and 55,032.48

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Solution

The fourth proportional to 154,885.50, 232,190.55 and 55,032.48 is: 82,499.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,885.50 : 232,190.55 = 55,032.48 : x
  2. Step 2: Convert to fraction form
    154,885.50/232,190.55 = 55,032.48/x
  3. Step 3: Cross multiply
    154,885.50x = 232,190.55 × 55,032.48
  4. Step 4: Simplify right side
    154,885.50x = 12,778,021,799.06
  5. Step 5: Solve for x
    x = 12,778,021,799.06/154,885.50
  6. Step 6: Final answer
    x = 82,499.79

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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.