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Finding the Fourth Proportional to 162,082.21, 223,405.72 and 108,347.62

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Solution

The fourth proportional to 162,082.21, 223,405.72 and 108,347.62 is: 149,340.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,082.21 : 223,405.72 = 108,347.62 : x
  2. Step 2: Convert to fraction form
    162,082.21/223,405.72 = 108,347.62/x
  3. Step 3: Cross multiply
    162,082.21x = 223,405.72 × 108,347.62
  4. Step 4: Simplify right side
    162,082.21x = 24,205,478,056.39
  5. Step 5: Solve for x
    x = 24,205,478,056.39/162,082.21
  6. Step 6: Final answer
    x = 149,340.75

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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.