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Finding the Fourth Proportional to 219,040.40, 328,690.20 and 144,376.40

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Solution

The fourth proportional to 219,040.40, 328,690.20 and 144,376.40 is: 216,650.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,040.40 : 328,690.20 = 144,376.40 : x
  2. Step 2: Convert to fraction form
    219,040.40/328,690.20 = 144,376.40/x
  3. Step 3: Cross multiply
    219,040.40x = 328,690.20 × 144,376.40
  4. Step 4: Simplify right side
    219,040.40x = 47,455,107,791.28
  5. Step 5: Solve for x
    x = 47,455,107,791.28/219,040.40
  6. Step 6: Final answer
    x = 216,650.02

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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.