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Finding the Fourth Proportional to 186,819.80, 257,817.01 and 106,258.91

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Solution

The fourth proportional to 186,819.80, 257,817.01 and 106,258.91 is: 146,640.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,819.80 : 257,817.01 = 106,258.91 : x
  2. Step 2: Convert to fraction form
    186,819.80/257,817.01 = 106,258.91/x
  3. Step 3: Cross multiply
    186,819.80x = 257,817.01 × 106,258.91
  4. Step 4: Simplify right side
    186,819.80x = 27,395,354,840.95
  5. Step 5: Solve for x
    x = 27,395,354,840.95/186,819.80
  6. Step 6: Final answer
    x = 146,640.53

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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.