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Finding the Fourth Proportional to 228,116.60, 341,786.10 and 194,679.80

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Solution

The fourth proportional to 228,116.60, 341,786.10 and 194,679.80 is: 291,687.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,116.60 : 341,786.10 = 194,679.80 : x
  2. Step 2: Convert to fraction form
    228,116.60/341,786.10 = 194,679.80/x
  3. Step 3: Cross multiply
    228,116.60x = 341,786.10 × 194,679.80
  4. Step 4: Simplify right side
    228,116.60x = 66,538,849,590.78
  5. Step 5: Solve for x
    x = 66,538,849,590.78/228,116.60
  6. Step 6: Final answer
    x = 291,687.89

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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.