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Finding the Fourth Proportional to 227,524.64, 341,010.26 and 160,983.98

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Solution

The fourth proportional to 227,524.64, 341,010.26 and 160,983.98 is: 241,280.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,524.64 : 341,010.26 = 160,983.98 : x
  2. Step 2: Convert to fraction form
    227,524.64/341,010.26 = 160,983.98/x
  3. Step 3: Cross multiply
    227,524.64x = 341,010.26 × 160,983.98
  4. Step 4: Simplify right side
    227,524.64x = 54,897,188,875.63
  5. Step 5: Solve for x
    x = 54,897,188,875.63/227,524.64
  6. Step 6: Final answer
    x = 241,280.19

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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.