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Finding the Fourth Proportional to 186,726.34, 257,638.03 and 106,147.50

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Solution

The fourth proportional to 186,726.34, 257,638.03 and 106,147.50 is: 146,458.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,726.34 : 257,638.03 = 106,147.50 : x
  2. Step 2: Convert to fraction form
    186,726.34/257,638.03 = 106,147.50/x
  3. Step 3: Cross multiply
    186,726.34x = 257,638.03 × 106,147.50
  4. Step 4: Simplify right side
    186,726.34x = 27,347,632,789.43
  5. Step 5: Solve for x
    x = 27,347,632,789.43/186,726.34
  6. Step 6: Final answer
    x = 146,458.36

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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.