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Finding the Fourth Proportional to 186,514.56, 257,313 and 129,958.74

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Solution

The fourth proportional to 186,514.56, 257,313 and 129,958.74 is: 179,289.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,514.56 : 257,313 = 129,958.74 : x
  2. Step 2: Convert to fraction form
    186,514.56/257,313 = 129,958.74/x
  3. Step 3: Cross multiply
    186,514.56x = 257,313 × 129,958.74
  4. Step 4: Simplify right side
    186,514.56x = 33,440,073,265.62
  5. Step 5: Solve for x
    x = 33,440,073,265.62/186,514.56
  6. Step 6: Final answer
    x = 179,289.34

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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.