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Finding the Fourth Proportional to 203,158.24, 304,933.92 and 98,051.20

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Solution

The fourth proportional to 203,158.24, 304,933.92 and 98,051.20 is: 147,171.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,158.24 : 304,933.92 = 98,051.20 : x
  2. Step 2: Convert to fraction form
    203,158.24/304,933.92 = 98,051.20/x
  3. Step 3: Cross multiply
    203,158.24x = 304,933.92 × 98,051.20
  4. Step 4: Simplify right side
    203,158.24x = 29,899,136,776.70
  5. Step 5: Solve for x
    x = 29,899,136,776.70/203,158.24
  6. Step 6: Final answer
    x = 147,171.67

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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.