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Finding the Fourth Proportional to 295,830.56, 443,524.41 and 96,031.71

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Solution

The fourth proportional to 295,830.56, 443,524.41 and 96,031.71 is: 143,975.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,830.56 : 443,524.41 = 96,031.71 : x
  2. Step 2: Convert to fraction form
    295,830.56/443,524.41 = 96,031.71/x
  3. Step 3: Cross multiply
    295,830.56x = 443,524.41 × 96,031.71
  4. Step 4: Simplify right side
    295,830.56x = 42,592,407,519.04
  5. Step 5: Solve for x
    x = 42,592,407,519.04/295,830.56
  6. Step 6: Final answer
    x = 143,975.68

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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.