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Finding the Fourth Proportional to 214,082.48, 320,687.73 and 101,421.20

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Solution

The fourth proportional to 214,082.48, 320,687.73 and 101,421.20 is: 151,925.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,082.48 : 320,687.73 = 101,421.20 : x
  2. Step 2: Convert to fraction form
    214,082.48/320,687.73 = 101,421.20/x
  3. Step 3: Cross multiply
    214,082.48x = 320,687.73 × 101,421.20
  4. Step 4: Simplify right side
    214,082.48x = 32,524,532,798.44
  5. Step 5: Solve for x
    x = 32,524,532,798.44/214,082.48
  6. Step 6: Final answer
    x = 151,925.25

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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.