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Finding the Fourth Proportional to 186,213.96, 256,930.48 and 109,736.20

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Solution

The fourth proportional to 186,213.96, 256,930.48 and 109,736.20 is: 151,409.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,213.96 : 256,930.48 = 109,736.20 : x
  2. Step 2: Convert to fraction form
    186,213.96/256,930.48 = 109,736.20/x
  3. Step 3: Cross multiply
    186,213.96x = 256,930.48 × 109,736.20
  4. Step 4: Simplify right side
    186,213.96x = 28,194,574,539.38
  5. Step 5: Solve for x
    x = 28,194,574,539.38/186,213.96
  6. Step 6: Final answer
    x = 151,409.56

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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.