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Finding the Fourth Proportional to 186,562.78, 257,463.52 and 106,003.96

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Solution

The fourth proportional to 186,562.78, 257,463.52 and 106,003.96 is: 146,289.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,562.78 : 257,463.52 = 106,003.96 : x
  2. Step 2: Convert to fraction form
    186,562.78/257,463.52 = 106,003.96/x
  3. Step 3: Cross multiply
    186,562.78x = 257,463.52 × 106,003.96
  4. Step 4: Simplify right side
    186,562.78x = 27,292,151,766.87
  5. Step 5: Solve for x
    x = 27,292,151,766.87/186,562.78
  6. Step 6: Final answer
    x = 146,289.37

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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.