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Finding the Fourth Proportional to 321,158.46, 481,719.10 and 96,514.06

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Solution

The fourth proportional to 321,158.46, 481,719.10 and 96,514.06 is: 144,765.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,158.46 : 481,719.10 = 96,514.06 : x
  2. Step 2: Convert to fraction form
    321,158.46/481,719.10 = 96,514.06/x
  3. Step 3: Cross multiply
    321,158.46x = 481,719.10 × 96,514.06
  4. Step 4: Simplify right side
    321,158.46x = 46,492,666,120.55
  5. Step 5: Solve for x
    x = 46,492,666,120.55/321,158.46
  6. Step 6: Final answer
    x = 144,765.50

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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.