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Finding the Fourth Proportional to 160,135.86, 239,939.90 and 54,897.06

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Solution

The fourth proportional to 160,135.86, 239,939.90 and 54,897.06 is: 82,255.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,135.86 : 239,939.90 = 54,897.06 : x
  2. Step 2: Convert to fraction form
    160,135.86/239,939.90 = 54,897.06/x
  3. Step 3: Cross multiply
    160,135.86x = 239,939.90 × 54,897.06
  4. Step 4: Simplify right side
    160,135.86x = 13,171,995,086.69
  5. Step 5: Solve for x
    x = 13,171,995,086.69/160,135.86
  6. Step 6: Final answer
    x = 82,255.12

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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.