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Finding the Fourth Proportional to 123,765, 170,798.76 and 67,176.24

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Solution

The fourth proportional to 123,765, 170,798.76 and 67,176.24 is: 92,704.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,765 : 170,798.76 = 67,176.24 : x
  2. Step 2: Convert to fraction form
    123,765/170,798.76 = 67,176.24/x
  3. Step 3: Cross multiply
    123,765x = 170,798.76 × 67,176.24
  4. Step 4: Simplify right side
    123,765x = 11,473,618,493.46
  5. Step 5: Solve for x
    x = 11,473,618,493.46/123,765
  6. Step 6: Final answer
    x = 92,704.87

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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.