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Finding the Fourth Proportional to 228,047.75, 341,926.72 and 200,024.07

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Solution

The fourth proportional to 228,047.75, 341,926.72 and 200,024.07 is: 299,909.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,047.75 : 341,926.72 = 200,024.07 : x
  2. Step 2: Convert to fraction form
    228,047.75/341,926.72 = 200,024.07/x
  3. Step 3: Cross multiply
    228,047.75x = 341,926.72 × 200,024.07
  4. Step 4: Simplify right side
    228,047.75x = 68,393,573,176.03
  5. Step 5: Solve for x
    x = 68,393,573,176.03/228,047.75
  6. Step 6: Final answer
    x = 299,909.01

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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.