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Finding the Fourth Proportional to 188,096.40, 281,946.22 and 61,703.64

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Solution

The fourth proportional to 188,096.40, 281,946.22 and 61,703.64 is: 92,490.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,096.40 : 281,946.22 = 61,703.64 : x
  2. Step 2: Convert to fraction form
    188,096.40/281,946.22 = 61,703.64/x
  3. Step 3: Cross multiply
    188,096.40x = 281,946.22 × 61,703.64
  4. Step 4: Simplify right side
    188,096.40x = 17,397,108,058.24
  5. Step 5: Solve for x
    x = 17,397,108,058.24/188,096.40
  6. Step 6: Final answer
    x = 92,490.38

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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.