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Finding the Fourth Proportional to 104,357.80, 156,522.06 and 34,228

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Solution

The fourth proportional to 104,357.80, 156,522.06 and 34,228 is: 51,337.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,357.80 : 156,522.06 = 34,228 : x
  2. Step 2: Convert to fraction form
    104,357.80/156,522.06 = 34,228/x
  3. Step 3: Cross multiply
    104,357.80x = 156,522.06 × 34,228
  4. Step 4: Simplify right side
    104,357.80x = 5,357,437,069.68
  5. Step 5: Solve for x
    x = 5,357,437,069.68/104,357.80
  6. Step 6: Final answer
    x = 51,337.20

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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.