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Finding the Fourth Proportional to 186,797.25, 257,780.21 and 119,729.25

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Solution

The fourth proportional to 186,797.25, 257,780.21 and 119,729.25 is: 165,226.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,797.25 : 257,780.21 = 119,729.25 : x
  2. Step 2: Convert to fraction form
    186,797.25/257,780.21 = 119,729.25/x
  3. Step 3: Cross multiply
    186,797.25x = 257,780.21 × 119,729.25
  4. Step 4: Simplify right side
    186,797.25x = 30,863,830,609.50
  5. Step 5: Solve for x
    x = 30,863,830,609.50/186,797.25
  6. Step 6: Final answer
    x = 165,226.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.