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Finding the Fourth Proportional to 162,418.56, 243,655.80 and 55,797.48

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Solution

The fourth proportional to 162,418.56, 243,655.80 and 55,797.48 is: 83,705.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,418.56 : 243,655.80 = 55,797.48 : x
  2. Step 2: Convert to fraction form
    162,418.56/243,655.80 = 55,797.48/x
  3. Step 3: Cross multiply
    162,418.56x = 243,655.80 × 55,797.48
  4. Step 4: Simplify right side
    162,418.56x = 13,595,379,627.38
  5. Step 5: Solve for x
    x = 13,595,379,627.38/162,418.56
  6. Step 6: Final answer
    x = 83,705.83

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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.