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Finding the Fourth Proportional to 186,642.27, 279,964.43 and 46,400.89

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Solution

The fourth proportional to 186,642.27, 279,964.43 and 46,400.89 is: 69,601.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,642.27 : 279,964.43 = 46,400.89 : x
  2. Step 2: Convert to fraction form
    186,642.27/279,964.43 = 46,400.89/x
  3. Step 3: Cross multiply
    186,642.27x = 279,964.43 × 46,400.89
  4. Step 4: Simplify right side
    186,642.27x = 12,990,598,720.34
  5. Step 5: Solve for x
    x = 12,990,598,720.34/186,642.27
  6. Step 6: Final answer
    x = 69,601.59

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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.