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Finding the Fourth Proportional to 106,493.85, 159,605.10 and 56,597.85

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Solution

The fourth proportional to 106,493.85, 159,605.10 and 56,597.85 is: 84,824.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,493.85 : 159,605.10 = 56,597.85 : x
  2. Step 2: Convert to fraction form
    106,493.85/159,605.10 = 56,597.85/x
  3. Step 3: Cross multiply
    106,493.85x = 159,605.10 × 56,597.85
  4. Step 4: Simplify right side
    106,493.85x = 9,033,305,509.04
  5. Step 5: Solve for x
    x = 9,033,305,509.04/106,493.85
  6. Step 6: Final answer
    x = 84,824.67

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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.