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Finding the Fourth Proportional to 186,801.60, 257,786.64 and 106,227.12

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Solution

The fourth proportional to 186,801.60, 257,786.64 and 106,227.12 is: 146,593.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,801.60 : 257,786.64 = 106,227.12 : x
  2. Step 2: Convert to fraction form
    186,801.60/257,786.64 = 106,227.12/x
  3. Step 3: Cross multiply
    186,801.60x = 257,786.64 × 106,227.12
  4. Step 4: Simplify right side
    186,801.60x = 27,383,932,341.68
  5. Step 5: Solve for x
    x = 27,383,932,341.68/186,801.60
  6. Step 6: Final answer
    x = 146,593.67

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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.