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Finding the Fourth Proportional to 199,584.60, 299,376.90 and 191,711.40

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Solution

The fourth proportional to 199,584.60, 299,376.90 and 191,711.40 is: 287,567.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,584.60 : 299,376.90 = 191,711.40 : x
  2. Step 2: Convert to fraction form
    199,584.60/299,376.90 = 191,711.40/x
  3. Step 3: Cross multiply
    199,584.60x = 299,376.90 × 191,711.40
  4. Step 4: Simplify right side
    199,584.60x = 57,393,964,626.66
  5. Step 5: Solve for x
    x = 57,393,964,626.66/199,584.60
  6. Step 6: Final answer
    x = 287,567.10

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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.