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Finding the Fourth Proportional to 212,793.93, 293,676.30 and 158,985.54

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Solution

The fourth proportional to 212,793.93, 293,676.30 and 158,985.54 is: 219,415.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,793.93 : 293,676.30 = 158,985.54 : x
  2. Step 2: Convert to fraction form
    212,793.93/293,676.30 = 158,985.54/x
  3. Step 3: Cross multiply
    212,793.93x = 293,676.30 × 158,985.54
  4. Step 4: Simplify right side
    212,793.93x = 46,690,285,140.70
  5. Step 5: Solve for x
    x = 46,690,285,140.70/212,793.93
  6. Step 6: Final answer
    x = 219,415.49

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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.