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Finding the Fourth Proportional to 180,031.42, 270,046.99 and 53,668.45

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Solution

The fourth proportional to 180,031.42, 270,046.99 and 53,668.45 is: 80,502.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,031.42 : 270,046.99 = 53,668.45 : x
  2. Step 2: Convert to fraction form
    180,031.42/270,046.99 = 53,668.45/x
  3. Step 3: Cross multiply
    180,031.42x = 270,046.99 × 53,668.45
  4. Step 4: Simplify right side
    180,031.42x = 14,493,003,380.47
  5. Step 5: Solve for x
    x = 14,493,003,380.47/180,031.42
  6. Step 6: Final answer
    x = 80,502.63

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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.