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Finding the Fourth Proportional to 295,952.58, 443,932.96 and 96,274.01

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Solution

The fourth proportional to 295,952.58, 443,932.96 and 96,274.01 is: 144,412.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,952.58 : 443,932.96 = 96,274.01 : x
  2. Step 2: Convert to fraction form
    295,952.58/443,932.96 = 96,274.01/x
  3. Step 3: Cross multiply
    295,952.58x = 443,932.96 × 96,274.01
  4. Step 4: Simplify right side
    295,952.58x = 42,739,204,010.70
  5. Step 5: Solve for x
    x = 42,739,204,010.70/295,952.58
  6. Step 6: Final answer
    x = 144,412.34

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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.