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Finding the Fourth Proportional to 281,816.88, 422,602.44 and 106,590

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Solution

The fourth proportional to 281,816.88, 422,602.44 and 106,590 is: 159,838.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,816.88 : 422,602.44 = 106,590 : x
  2. Step 2: Convert to fraction form
    281,816.88/422,602.44 = 106,590/x
  3. Step 3: Cross multiply
    281,816.88x = 422,602.44 × 106,590
  4. Step 4: Simplify right side
    281,816.88x = 45,045,194,079.60
  5. Step 5: Solve for x
    x = 45,045,194,079.60/281,816.88
  6. Step 6: Final answer
    x = 159,838.52

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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.