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Finding the Fourth Proportional to 279,853.28, 419,903.82 and 146,701.88

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Solution

The fourth proportional to 279,853.28, 419,903.82 and 146,701.88 is: 220,117.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,853.28 : 419,903.82 = 146,701.88 : x
  2. Step 2: Convert to fraction form
    279,853.28/419,903.82 = 146,701.88/x
  3. Step 3: Cross multiply
    279,853.28x = 419,903.82 × 146,701.88
  4. Step 4: Simplify right side
    279,853.28x = 61,600,679,813.18
  5. Step 5: Solve for x
    x = 61,600,679,813.18/279,853.28
  6. Step 6: Final answer
    x = 220,117.77

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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.