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Finding the Fourth Proportional to 279,819.40, 419,729.10 and 92,830.90

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Solution

The fourth proportional to 279,819.40, 419,729.10 and 92,830.90 is: 139,246.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,819.40 : 419,729.10 = 92,830.90 : x
  2. Step 2: Convert to fraction form
    279,819.40/419,729.10 = 92,830.90/x
  3. Step 3: Cross multiply
    279,819.40x = 419,729.10 × 92,830.90
  4. Step 4: Simplify right side
    279,819.40x = 38,963,830,109.19
  5. Step 5: Solve for x
    x = 38,963,830,109.19/279,819.40
  6. Step 6: Final answer
    x = 139,246.35

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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.