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Finding the Fourth Proportional to 186,524.56, 279,567.80 and 86,474.16

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Solution

The fourth proportional to 186,524.56, 279,567.80 and 86,474.16 is: 129,609.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,524.56 : 279,567.80 = 86,474.16 : x
  2. Step 2: Convert to fraction form
    186,524.56/279,567.80 = 86,474.16/x
  3. Step 3: Cross multiply
    186,524.56x = 279,567.80 × 86,474.16
  4. Step 4: Simplify right side
    186,524.56x = 24,175,390,668.05
  5. Step 5: Solve for x
    x = 24,175,390,668.05/186,524.56
  6. Step 6: Final answer
    x = 129,609.69

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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.