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Finding the Fourth Proportional to 186,921.54, 257,948.37 and 106,347.33

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Solution

The fourth proportional to 186,921.54, 257,948.37 and 106,347.33 is: 146,757.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,921.54 : 257,948.37 = 106,347.33 : x
  2. Step 2: Convert to fraction form
    186,921.54/257,948.37 = 106,347.33/x
  3. Step 3: Cross multiply
    186,921.54x = 257,948.37 × 106,347.33
  4. Step 4: Simplify right side
    186,921.54x = 27,432,120,427.35
  5. Step 5: Solve for x
    x = 27,432,120,427.35/186,921.54
  6. Step 6: Final answer
    x = 146,757.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.