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Finding the Fourth Proportional to 186,782, 257,759.16 and 119,714

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Solution

The fourth proportional to 186,782, 257,759.16 and 119,714 is: 165,205.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,782 : 257,759.16 = 119,714 : x
  2. Step 2: Convert to fraction form
    186,782/257,759.16 = 119,714/x
  3. Step 3: Cross multiply
    186,782x = 257,759.16 × 119,714
  4. Step 4: Simplify right side
    186,782x = 30,857,380,080.24
  5. Step 5: Solve for x
    x = 30,857,380,080.24/186,782
  6. Step 6: Final answer
    x = 165,205.32

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