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Finding the Fourth Proportional to 230,872.20, 346,308.30 and 191,473.80

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Solution

The fourth proportional to 230,872.20, 346,308.30 and 191,473.80 is: 287,210.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,872.20 : 346,308.30 = 191,473.80 : x
  2. Step 2: Convert to fraction form
    230,872.20/346,308.30 = 191,473.80/x
  3. Step 3: Cross multiply
    230,872.20x = 346,308.30 × 191,473.80
  4. Step 4: Simplify right side
    230,872.20x = 66,308,966,172.54
  5. Step 5: Solve for x
    x = 66,308,966,172.54/230,872.20
  6. Step 6: Final answer
    x = 287,210.70

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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.