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Finding the Fourth Proportional to 160,564.54, 240,902.70 and 71,827.42

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Solution

The fourth proportional to 160,564.54, 240,902.70 and 71,827.42 is: 107,766.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,564.54 : 240,902.70 = 71,827.42 : x
  2. Step 2: Convert to fraction form
    160,564.54/240,902.70 = 71,827.42/x
  3. Step 3: Cross multiply
    160,564.54x = 240,902.70 × 71,827.42
  4. Step 4: Simplify right side
    160,564.54x = 17,303,419,412.03
  5. Step 5: Solve for x
    x = 17,303,419,412.03/160,564.54
  6. Step 6: Final answer
    x = 107,766.13

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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.