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Finding the Fourth Proportional to 123,140.68, 184,711.05 and 29,646.44

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Solution

The fourth proportional to 123,140.68, 184,711.05 and 29,646.44 is: 44,469.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,140.68 : 184,711.05 = 29,646.44 : x
  2. Step 2: Convert to fraction form
    123,140.68/184,711.05 = 29,646.44/x
  3. Step 3: Cross multiply
    123,140.68x = 184,711.05 × 29,646.44
  4. Step 4: Simplify right side
    123,140.68x = 5,476,025,061.16
  5. Step 5: Solve for x
    x = 5,476,025,061.16/123,140.68
  6. Step 6: Final answer
    x = 44,469.67

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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.