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Finding the Fourth Proportional to 113,605.60, 170,408.40 and 102,546.40

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Solution

The fourth proportional to 113,605.60, 170,408.40 and 102,546.40 is: 153,819.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,605.60 : 170,408.40 = 102,546.40 : x
  2. Step 2: Convert to fraction form
    113,605.60/170,408.40 = 102,546.40/x
  3. Step 3: Cross multiply
    113,605.60x = 170,408.40 × 102,546.40
  4. Step 4: Simplify right side
    113,605.60x = 17,474,767,949.76
  5. Step 5: Solve for x
    x = 17,474,767,949.76/113,605.60
  6. Step 6: Final answer
    x = 153,819.60

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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.