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Finding the Fourth Proportional to 227,814.50, 341,721.75 and 61,602.50

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Solution

The fourth proportional to 227,814.50, 341,721.75 and 61,602.50 is: 92,403.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,814.50 : 341,721.75 = 61,602.50 : x
  2. Step 2: Convert to fraction form
    227,814.50/341,721.75 = 61,602.50/x
  3. Step 3: Cross multiply
    227,814.50x = 341,721.75 × 61,602.50
  4. Step 4: Simplify right side
    227,814.50x = 21,050,914,104.38
  5. Step 5: Solve for x
    x = 21,050,914,104.38/227,814.50
  6. Step 6: Final answer
    x = 92,403.75

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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.