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Finding the Fourth Proportional to 168,970.62, 233,163.51 and 100,974.06

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Solution

The fourth proportional to 168,970.62, 233,163.51 and 100,974.06 is: 139,334.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,970.62 : 233,163.51 = 100,974.06 : x
  2. Step 2: Convert to fraction form
    168,970.62/233,163.51 = 100,974.06/x
  3. Step 3: Cross multiply
    168,970.62x = 233,163.51 × 100,974.06
  4. Step 4: Simplify right side
    168,970.62x = 23,543,466,437.88
  5. Step 5: Solve for x
    x = 23,543,466,437.88/168,970.62
  6. Step 6: Final answer
    x = 139,334.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.