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Finding the Fourth Proportional to 154,793.80, 232,223.10 and 49,623.40

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Solution

The fourth proportional to 154,793.80, 232,223.10 and 49,623.40 is: 74,445.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,793.80 : 232,223.10 = 49,623.40 : x
  2. Step 2: Convert to fraction form
    154,793.80/232,223.10 = 49,623.40/x
  3. Step 3: Cross multiply
    154,793.80x = 232,223.10 × 49,623.40
  4. Step 4: Simplify right side
    154,793.80x = 11,523,699,780.54
  5. Step 5: Solve for x
    x = 11,523,699,780.54/154,793.80
  6. Step 6: Final answer
    x = 74,445.49

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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.