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Finding the Fourth Proportional to 186,678, 279,932.40 and 53,527.68

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Solution

The fourth proportional to 186,678, 279,932.40 and 53,527.68 is: 80,267.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,678 : 279,932.40 = 53,527.68 : x
  2. Step 2: Convert to fraction form
    186,678/279,932.40 = 53,527.68/x
  3. Step 3: Cross multiply
    186,678x = 279,932.40 × 53,527.68
  4. Step 4: Simplify right side
    186,678x = 14,984,131,928.83
  5. Step 5: Solve for x
    x = 14,984,131,928.83/186,678
  6. Step 6: Final answer
    x = 80,267.26

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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.