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Finding the Fourth Proportional to 186,785.56, 257,762.82 and 106,213.08

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Solution

The fourth proportional to 186,785.56, 257,762.82 and 106,213.08 is: 146,573.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,785.56 : 257,762.82 = 106,213.08 : x
  2. Step 2: Convert to fraction form
    186,785.56/257,762.82 = 106,213.08/x
  3. Step 3: Cross multiply
    186,785.56x = 257,762.82 × 106,213.08
  4. Step 4: Simplify right side
    186,785.56x = 27,377,783,021.69
  5. Step 5: Solve for x
    x = 27,377,783,021.69/186,785.56
  6. Step 6: Final answer
    x = 146,573.34

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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.