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Finding the Fourth Proportional to 186,202.85, 256,915.15 and 109,725.08

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Solution

The fourth proportional to 186,202.85, 256,915.15 and 109,725.08 is: 151,394.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,202.85 : 256,915.15 = 109,725.08 : x
  2. Step 2: Convert to fraction form
    186,202.85/256,915.15 = 109,725.08/x
  3. Step 3: Cross multiply
    186,202.85x = 256,915.15 × 109,725.08
  4. Step 4: Simplify right side
    186,202.85x = 28,190,035,754.94
  5. Step 5: Solve for x
    x = 28,190,035,754.94/186,202.85
  6. Step 6: Final answer
    x = 151,394.22

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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.