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Finding the Fourth Proportional to 186,592.32, 257,504.34 and 106,033.50

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Solution

The fourth proportional to 186,592.32, 257,504.34 and 106,033.50 is: 146,330.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,592.32 : 257,504.34 = 106,033.50 : x
  2. Step 2: Convert to fraction form
    186,592.32/257,504.34 = 106,033.50/x
  3. Step 3: Cross multiply
    186,592.32x = 257,504.34 × 106,033.50
  4. Step 4: Simplify right side
    186,592.32x = 27,304,086,435.39
  5. Step 5: Solve for x
    x = 27,304,086,435.39/186,592.32
  6. Step 6: Final answer
    x = 146,330.17

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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.