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Finding the Fourth Proportional to 186,915.86, 280,304.53 and 66,954.11

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Solution

The fourth proportional to 186,915.86, 280,304.53 and 66,954.11 is: 100,406.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,915.86 : 280,304.53 = 66,954.11 : x
  2. Step 2: Convert to fraction form
    186,915.86/280,304.53 = 66,954.11/x
  3. Step 3: Cross multiply
    186,915.86x = 280,304.53 × 66,954.11
  4. Step 4: Simplify right side
    186,915.86x = 18,767,540,868.49
  5. Step 5: Solve for x
    x = 18,767,540,868.49/186,915.86
  6. Step 6: Final answer
    x = 100,406.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.