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Finding the Fourth Proportional to 113,194.60, 169,748.70 and 34,282.60

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Solution

The fourth proportional to 113,194.60, 169,748.70 and 34,282.60 is: 51,410.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,194.60 : 169,748.70 = 34,282.60 : x
  2. Step 2: Convert to fraction form
    113,194.60/169,748.70 = 34,282.60/x
  3. Step 3: Cross multiply
    113,194.60x = 169,748.70 × 34,282.60
  4. Step 4: Simplify right side
    113,194.60x = 5,819,426,782.62
  5. Step 5: Solve for x
    x = 5,819,426,782.62/113,194.60
  6. Step 6: Final answer
    x = 51,410.82

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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.