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Finding the Fourth Proportional to 203,792.70, 281,267.40 and 118,909.56

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Solution

The fourth proportional to 203,792.70, 281,267.40 and 118,909.56 is: 164,114.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,792.70 : 281,267.40 = 118,909.56 : x
  2. Step 2: Convert to fraction form
    203,792.70/281,267.40 = 118,909.56/x
  3. Step 3: Cross multiply
    203,792.70x = 281,267.40 × 118,909.56
  4. Step 4: Simplify right side
    203,792.70x = 33,445,382,776.34
  5. Step 5: Solve for x
    x = 33,445,382,776.34/203,792.70
  6. Step 6: Final answer
    x = 164,114.72

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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.