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Finding the Fourth Proportional to 194,857.60, 292,723.80 and 187,421.80

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Solution

The fourth proportional to 194,857.60, 292,723.80 and 187,421.80 is: 281,553.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,857.60 : 292,723.80 = 187,421.80 : x
  2. Step 2: Convert to fraction form
    194,857.60/292,723.80 = 187,421.80/x
  3. Step 3: Cross multiply
    194,857.60x = 292,723.80 × 187,421.80
  4. Step 4: Simplify right side
    194,857.60x = 54,862,821,498.84
  5. Step 5: Solve for x
    x = 54,862,821,498.84/194,857.60
  6. Step 6: Final answer
    x = 281,553.41

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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.