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Finding the Fourth Proportional to 108,223.84, 162,393.90 and 52,819.84

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Solution

The fourth proportional to 108,223.84, 162,393.90 and 52,819.84 is: 79,258.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,223.84 : 162,393.90 = 52,819.84 : x
  2. Step 2: Convert to fraction form
    108,223.84/162,393.90 = 52,819.84/x
  3. Step 3: Cross multiply
    108,223.84x = 162,393.90 × 52,819.84
  4. Step 4: Simplify right side
    108,223.84x = 8,577,619,814.98
  5. Step 5: Solve for x
    x = 8,577,619,814.98/108,223.84
  6. Step 6: Final answer
    x = 79,258.14

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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.