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Finding the Fourth Proportional to 219,817.80, 329,385.66 and 152,481.32

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Solution

The fourth proportional to 219,817.80, 329,385.66 and 152,481.32 is: 228,485.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,817.80 : 329,385.66 = 152,481.32 : x
  2. Step 2: Convert to fraction form
    219,817.80/329,385.66 = 152,481.32/x
  3. Step 3: Cross multiply
    219,817.80x = 329,385.66 × 152,481.32
  4. Step 4: Simplify right side
    219,817.80x = 50,225,160,225.87
  5. Step 5: Solve for x
    x = 50,225,160,225.87/219,817.80
  6. Step 6: Final answer
    x = 228,485.41

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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.