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Finding the Fourth Proportional to 228,117.10, 341,786.85 and 194,680.30

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Solution

The fourth proportional to 228,117.10, 341,786.85 and 194,680.30 is: 291,688.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,117.10 : 341,786.85 = 194,680.30 : x
  2. Step 2: Convert to fraction form
    228,117.10/341,786.85 = 194,680.30/x
  3. Step 3: Cross multiply
    228,117.10x = 341,786.85 × 194,680.30
  4. Step 4: Simplify right side
    228,117.10x = 66,539,166,494.06
  5. Step 5: Solve for x
    x = 66,539,166,494.06/228,117.10
  6. Step 6: Final answer
    x = 291,688.64

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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.