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Finding the Fourth Proportional to 186,858.10, 280,245.12 and 53,708.68

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Solution

The fourth proportional to 186,858.10, 280,245.12 and 53,708.68 is: 80,550.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,858.10 : 280,245.12 = 53,708.68 : x
  2. Step 2: Convert to fraction form
    186,858.10/280,245.12 = 53,708.68/x
  3. Step 3: Cross multiply
    186,858.10x = 280,245.12 × 53,708.68
  4. Step 4: Simplify right side
    186,858.10x = 15,051,595,471.64
  5. Step 5: Solve for x
    x = 15,051,595,471.64/186,858.10
  6. Step 6: Final answer
    x = 80,550.94

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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.