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Finding the Fourth Proportional to 279,271.17, 419,008.28 and 137,101.50

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Solution

The fourth proportional to 279,271.17, 419,008.28 and 137,101.50 is: 205,702.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,271.17 : 419,008.28 = 137,101.50 : x
  2. Step 2: Convert to fraction form
    279,271.17/419,008.28 = 137,101.50/x
  3. Step 3: Cross multiply
    279,271.17x = 419,008.28 × 137,101.50
  4. Step 4: Simplify right side
    279,271.17x = 57,446,663,014.91
  5. Step 5: Solve for x
    x = 57,446,663,014.91/279,271.17
  6. Step 6: Final answer
    x = 205,702.09

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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.