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Finding the Fourth Proportional to 162,408.80, 224,193.24 and 98,767.04

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Solution

The fourth proportional to 162,408.80, 224,193.24 and 98,767.04 is: 136,340.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,408.80 : 224,193.24 = 98,767.04 : x
  2. Step 2: Convert to fraction form
    162,408.80/224,193.24 = 98,767.04/x
  3. Step 3: Cross multiply
    162,408.80x = 224,193.24 × 98,767.04
  4. Step 4: Simplify right side
    162,408.80x = 22,142,902,702.81
  5. Step 5: Solve for x
    x = 22,142,902,702.81/162,408.80
  6. Step 6: Final answer
    x = 136,340.54

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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.