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Finding the Fourth Proportional to 219,096.70, 328,645.05 and 144,301.30

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Solution

The fourth proportional to 219,096.70, 328,645.05 and 144,301.30 is: 216,451.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,096.70 : 328,645.05 = 144,301.30 : x
  2. Step 2: Convert to fraction form
    219,096.70/328,645.05 = 144,301.30/x
  3. Step 3: Cross multiply
    219,096.70x = 328,645.05 × 144,301.30
  4. Step 4: Simplify right side
    219,096.70x = 47,423,907,953.57
  5. Step 5: Solve for x
    x = 47,423,907,953.57/219,096.70
  6. Step 6: Final answer
    x = 216,451.95

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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.