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Finding the Fourth Proportional to 227,776.50, 341,664.84 and 61,564.50

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Solution

The fourth proportional to 227,776.50, 341,664.84 and 61,564.50 is: 92,346.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,776.50 : 341,664.84 = 61,564.50 : x
  2. Step 2: Convert to fraction form
    227,776.50/341,664.84 = 61,564.50/x
  3. Step 3: Cross multiply
    227,776.50x = 341,664.84 × 61,564.50
  4. Step 4: Simplify right side
    227,776.50x = 21,034,425,042.18
  5. Step 5: Solve for x
    x = 21,034,425,042.18/227,776.50
  6. Step 6: Final answer
    x = 92,346.77

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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.