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Finding the Fourth Proportional to 113,311.20, 169,966.80 and 106,312.80

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Solution

The fourth proportional to 113,311.20, 169,966.80 and 106,312.80 is: 159,469.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,311.20 : 169,966.80 = 106,312.80 : x
  2. Step 2: Convert to fraction form
    113,311.20/169,966.80 = 106,312.80/x
  3. Step 3: Cross multiply
    113,311.20x = 169,966.80 × 106,312.80
  4. Step 4: Simplify right side
    113,311.20x = 18,069,646,415.04
  5. Step 5: Solve for x
    x = 18,069,646,415.04/113,311.20
  6. Step 6: Final answer
    x = 159,469.20

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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.