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Finding the Fourth Proportional to 228,088.60, 341,744.10 and 194,651.80

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Solution

The fourth proportional to 228,088.60, 341,744.10 and 194,651.80 is: 291,645.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,088.60 : 341,744.10 = 194,651.80 : x
  2. Step 2: Convert to fraction form
    228,088.60/341,744.10 = 194,651.80/x
  3. Step 3: Cross multiply
    228,088.60x = 341,744.10 × 194,651.80
  4. Step 4: Simplify right side
    228,088.60x = 66,521,104,204.38
  5. Step 5: Solve for x
    x = 66,521,104,204.38/228,088.60
  6. Step 6: Final answer
    x = 291,645.90

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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.