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Finding the Fourth Proportional to 219,801.30, 328,827.15 and 190,544.10

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Solution

The fourth proportional to 219,801.30, 328,827.15 and 190,544.10 is: 285,057.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,801.30 : 328,827.15 = 190,544.10 : x
  2. Step 2: Convert to fraction form
    219,801.30/328,827.15 = 190,544.10/x
  3. Step 3: Cross multiply
    219,801.30x = 328,827.15 × 190,544.10
  4. Step 4: Simplify right side
    219,801.30x = 62,656,073,352.32
  5. Step 5: Solve for x
    x = 62,656,073,352.32/219,801.30
  6. Step 6: Final answer
    x = 285,057.79

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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.