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Finding the Fourth Proportional to 227,776.80, 341,665.20 and 61,564.80

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Solution

The fourth proportional to 227,776.80, 341,665.20 and 61,564.80 is: 92,347.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,776.80 : 341,665.20 = 61,564.80 : x
  2. Step 2: Convert to fraction form
    227,776.80/341,665.20 = 61,564.80/x
  3. Step 3: Cross multiply
    227,776.80x = 341,665.20 × 61,564.80
  4. Step 4: Simplify right side
    227,776.80x = 21,034,549,704.96
  5. Step 5: Solve for x
    x = 21,034,549,704.96/227,776.80
  6. Step 6: Final answer
    x = 92,347.20

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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.