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Finding the Fourth Proportional to 186,915.70, 257,940.35 and 106,341.49

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Solution

The fourth proportional to 186,915.70, 257,940.35 and 106,341.49 is: 146,749.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,915.70 : 257,940.35 = 106,341.49 : x
  2. Step 2: Convert to fraction form
    186,915.70/257,940.35 = 106,341.49/x
  3. Step 3: Cross multiply
    186,915.70x = 257,940.35 × 106,341.49
  4. Step 4: Simplify right side
    186,915.70x = 27,429,761,339.62
  5. Step 5: Solve for x
    x = 27,429,761,339.62/186,915.70
  6. Step 6: Final answer
    x = 146,749.37

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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.