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Finding the Fourth Proportional to 281,882.16, 422,915.40 and 104,402.16

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Solution

The fourth proportional to 281,882.16, 422,915.40 and 104,402.16 is: 156,637.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,882.16 : 422,915.40 = 104,402.16 : x
  2. Step 2: Convert to fraction form
    281,882.16/422,915.40 = 104,402.16/x
  3. Step 3: Cross multiply
    281,882.16x = 422,915.40 × 104,402.16
  4. Step 4: Simplify right side
    281,882.16x = 44,153,281,257.26
  5. Step 5: Solve for x
    x = 44,153,281,257.26/281,882.16
  6. Step 6: Final answer
    x = 156,637.37

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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.