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Finding the Fourth Proportional to 219,319.20, 328,978.80 and 144,523.80

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Solution

The fourth proportional to 219,319.20, 328,978.80 and 144,523.80 is: 216,785.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,319.20 : 328,978.80 = 144,523.80 : x
  2. Step 2: Convert to fraction form
    219,319.20/328,978.80 = 144,523.80/x
  3. Step 3: Cross multiply
    219,319.20x = 328,978.80 × 144,523.80
  4. Step 4: Simplify right side
    219,319.20x = 47,545,266,295.44
  5. Step 5: Solve for x
    x = 47,545,266,295.44/219,319.20
  6. Step 6: Final answer
    x = 216,785.70

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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.