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Finding the Fourth Proportional to 186,057.32, 256,765.86 and 106,584.68

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Solution

The fourth proportional to 186,057.32, 256,765.86 and 106,584.68 is: 147,090.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,057.32 : 256,765.86 = 106,584.68 : x
  2. Step 2: Convert to fraction form
    186,057.32/256,765.86 = 106,584.68/x
  3. Step 3: Cross multiply
    186,057.32x = 256,765.86 × 106,584.68
  4. Step 4: Simplify right side
    186,057.32x = 27,367,307,023.02
  5. Step 5: Solve for x
    x = 27,367,307,023.02/186,057.32
  6. Step 6: Final answer
    x = 147,090.73

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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.