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Finding the Fourth Proportional to 186,768, 257,739.84 and 119,700

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Solution

The fourth proportional to 186,768, 257,739.84 and 119,700 is: 165,186

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,768 : 257,739.84 = 119,700 : x
  2. Step 2: Convert to fraction form
    186,768/257,739.84 = 119,700/x
  3. Step 3: Cross multiply
    186,768x = 257,739.84 × 119,700
  4. Step 4: Simplify right side
    186,768x = 30,851,458,848
  5. Step 5: Solve for x
    x = 30,851,458,848/186,768
  6. Step 6: Final answer
    x = 165,186

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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.