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Finding the Fourth Proportional to 186,830.85, 280,238.42 and 86,956.69

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Solution

The fourth proportional to 186,830.85, 280,238.42 and 86,956.69 is: 130,431.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,830.85 : 280,238.42 = 86,956.69 : x
  2. Step 2: Convert to fraction form
    186,830.85/280,238.42 = 86,956.69/x
  3. Step 3: Cross multiply
    186,830.85x = 280,238.42 × 86,956.69
  4. Step 4: Simplify right side
    186,830.85x = 24,368,605,414.03
  5. Step 5: Solve for x
    x = 24,368,605,414.03/186,830.85
  6. Step 6: Final answer
    x = 130,431.38

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1.5x scale

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.