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Finding the Fourth Proportional to 106,797.78, 160,012.56 and 70,751.76

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Solution

The fourth proportional to 106,797.78, 160,012.56 and 70,751.76 is: 106,005.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,797.78 : 160,012.56 = 70,751.76 : x
  2. Step 2: Convert to fraction form
    106,797.78/160,012.56 = 70,751.76/x
  3. Step 3: Cross multiply
    106,797.78x = 160,012.56 × 70,751.76
  4. Step 4: Simplify right side
    106,797.78x = 11,321,170,242.11
  5. Step 5: Solve for x
    x = 11,321,170,242.11/106,797.78
  6. Step 6: Final answer
    x = 106,005.67

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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.