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Finding the Fourth Proportional to 176,727.16, 264,659.82 and 134,561.80

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Solution

The fourth proportional to 176,727.16, 264,659.82 and 134,561.80 is: 201,514.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,727.16 : 264,659.82 = 134,561.80 : x
  2. Step 2: Convert to fraction form
    176,727.16/264,659.82 = 134,561.80/x
  3. Step 3: Cross multiply
    176,727.16x = 264,659.82 × 134,561.80
  4. Step 4: Simplify right side
    176,727.16x = 35,613,101,766.88
  5. Step 5: Solve for x
    x = 35,613,101,766.88/176,727.16
  6. Step 6: Final answer
    x = 201,514.59

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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.