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Finding the Fourth Proportional to 219,097.80, 328,419.90 and 119,046.60

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Solution

The fourth proportional to 219,097.80, 328,419.90 and 119,046.60 is: 178,446.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,097.80 : 328,419.90 = 119,046.60 : x
  2. Step 2: Convert to fraction form
    219,097.80/328,419.90 = 119,046.60/x
  3. Step 3: Cross multiply
    219,097.80x = 328,419.90 × 119,046.60
  4. Step 4: Simplify right side
    219,097.80x = 39,097,272,467.34
  5. Step 5: Solve for x
    x = 39,097,272,467.34/219,097.80
  6. Step 6: Final answer
    x = 178,446.67

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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.