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Finding the Fourth Proportional to 186,903.20, 257,930.64 and 106,327.52

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Solution

The fourth proportional to 186,903.20, 257,930.64 and 106,327.52 is: 146,734.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,903.20 : 257,930.64 = 106,327.52 : x
  2. Step 2: Convert to fraction form
    186,903.20/257,930.64 = 106,327.52/x
  3. Step 3: Cross multiply
    186,903.20x = 257,930.64 × 106,327.52
  4. Step 4: Simplify right side
    186,903.20x = 27,425,125,283.21
  5. Step 5: Solve for x
    x = 27,425,125,283.21/186,903.20
  6. Step 6: Final answer
    x = 146,734.38

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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.