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Finding the Fourth Proportional to 159,771.47, 239,657.29 and 54,591.47

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Solution

The fourth proportional to 159,771.47, 239,657.29 and 54,591.47 is: 81,887.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,771.47 : 239,657.29 = 54,591.47 : x
  2. Step 2: Convert to fraction form
    159,771.47/239,657.29 = 54,591.47/x
  3. Step 3: Cross multiply
    159,771.47x = 239,657.29 × 54,591.47
  4. Step 4: Simplify right side
    159,771.47x = 13,083,243,484.36
  5. Step 5: Solve for x
    x = 13,083,243,484.36/159,771.47
  6. Step 6: Final answer
    x = 81,887.23

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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.