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Finding the Fourth Proportional to 186,562.97, 257,462.93 and 105,989.03

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Solution

The fourth proportional to 186,562.97, 257,462.93 and 105,989.03 is: 146,268.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,562.97 : 257,462.93 = 105,989.03 : x
  2. Step 2: Convert to fraction form
    186,562.97/257,462.93 = 105,989.03/x
  3. Step 3: Cross multiply
    186,562.97x = 257,462.93 × 105,989.03
  4. Step 4: Simplify right side
    186,562.97x = 27,288,246,211.66
  5. Step 5: Solve for x
    x = 27,288,246,211.66/186,562.97
  6. Step 6: Final answer
    x = 146,268.29

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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.