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Finding the Fourth Proportional to 219,654.40, 329,044.20 and 114,532.60

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Solution

The fourth proportional to 219,654.40, 329,044.20 and 114,532.60 is: 171,570.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,654.40 : 329,044.20 = 114,532.60 : x
  2. Step 2: Convert to fraction form
    219,654.40/329,044.20 = 114,532.60/x
  3. Step 3: Cross multiply
    219,654.40x = 329,044.20 × 114,532.60
  4. Step 4: Simplify right side
    219,654.40x = 37,686,287,740.92
  5. Step 5: Solve for x
    x = 37,686,287,740.92/219,654.40
  6. Step 6: Final answer
    x = 171,570.83

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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.