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Finding the Fourth Proportional to 279,897.60, 419,846.40 and 92,909.10

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Solution

The fourth proportional to 279,897.60, 419,846.40 and 92,909.10 is: 139,363.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,897.60 : 419,846.40 = 92,909.10 : x
  2. Step 2: Convert to fraction form
    279,897.60/419,846.40 = 92,909.10/x
  3. Step 3: Cross multiply
    279,897.60x = 419,846.40 × 92,909.10
  4. Step 4: Simplify right side
    279,897.60x = 39,007,551,162.24
  5. Step 5: Solve for x
    x = 39,007,551,162.24/279,897.60
  6. Step 6: Final answer
    x = 139,363.65

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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.