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Finding the Fourth Proportional to 186,649.68, 279,974.73 and 46,408.32

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Solution

The fourth proportional to 186,649.68, 279,974.73 and 46,408.32 is: 69,612.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,649.68 : 279,974.73 = 46,408.32 : x
  2. Step 2: Convert to fraction form
    186,649.68/279,974.73 = 46,408.32/x
  3. Step 3: Cross multiply
    186,649.68x = 279,974.73 × 46,408.32
  4. Step 4: Simplify right side
    186,649.68x = 12,993,156,861.75
  5. Step 5: Solve for x
    x = 12,993,156,861.75/186,649.68
  6. Step 6: Final answer
    x = 69,612.53

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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.