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Finding the Fourth Proportional to 266,101.28, 399,328.21 and 146,241.93

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Solution

The fourth proportional to 266,101.28, 399,328.21 and 146,241.93 is: 219,459.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,101.28 : 399,328.21 = 146,241.93 : x
  2. Step 2: Convert to fraction form
    266,101.28/399,328.21 = 146,241.93/x
  3. Step 3: Cross multiply
    266,101.28x = 399,328.21 × 146,241.93
  4. Step 4: Simplify right side
    266,101.28x = 58,398,527,768.24
  5. Step 5: Solve for x
    x = 58,398,527,768.24/266,101.28
  6. Step 6: Final answer
    x = 219,459.78

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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.