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Finding the Fourth Proportional to 106,296.20, 159,137.10 and 64,824.20

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Solution

The fourth proportional to 106,296.20, 159,137.10 and 64,824.20 is: 97,048.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,296.20 : 159,137.10 = 64,824.20 : x
  2. Step 2: Convert to fraction form
    106,296.20/159,137.10 = 64,824.20/x
  3. Step 3: Cross multiply
    106,296.20x = 159,137.10 × 64,824.20
  4. Step 4: Simplify right side
    106,296.20x = 10,315,935,197.82
  5. Step 5: Solve for x
    x = 10,315,935,197.82/106,296.20
  6. Step 6: Final answer
    x = 97,048.96

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1.5x scale

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.