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Finding the Fourth Proportional to 105,492.20, 158,239.90 and 34,414.52

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Solution

The fourth proportional to 105,492.20, 158,239.90 and 34,414.52 is: 51,622.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,492.20 : 158,239.90 = 34,414.52 : x
  2. Step 2: Convert to fraction form
    105,492.20/158,239.90 = 34,414.52/x
  3. Step 3: Cross multiply
    105,492.20x = 158,239.90 × 34,414.52
  4. Step 4: Simplify right side
    105,492.20x = 5,445,750,203.35
  5. Step 5: Solve for x
    x = 5,445,750,203.35/105,492.20
  6. Step 6: Final answer
    x = 51,622.30

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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.