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Finding the Fourth Proportional to 159,427.48, 239,157.42 and 54,253.84

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Solution

The fourth proportional to 159,427.48, 239,157.42 and 54,253.84 is: 81,386.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,427.48 : 239,157.42 = 54,253.84 : x
  2. Step 2: Convert to fraction form
    159,427.48/239,157.42 = 54,253.84/x
  3. Step 3: Cross multiply
    159,427.48x = 239,157.42 × 54,253.84
  4. Step 4: Simplify right side
    159,427.48x = 12,975,208,399.49
  5. Step 5: Solve for x
    x = 12,975,208,399.49/159,427.48
  6. Step 6: Final answer
    x = 81,386.27

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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.