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Finding the Fourth Proportional to 200,097.20, 299,781.30 and 158,252.60

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Solution

The fourth proportional to 200,097.20, 299,781.30 and 158,252.60 is: 237,090.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,097.20 : 299,781.30 = 158,252.60 : x
  2. Step 2: Convert to fraction form
    200,097.20/299,781.30 = 158,252.60/x
  3. Step 3: Cross multiply
    200,097.20x = 299,781.30 × 158,252.60
  4. Step 4: Simplify right side
    200,097.20x = 47,441,170,156.38
  5. Step 5: Solve for x
    x = 47,441,170,156.38/200,097.20
  6. Step 6: Final answer
    x = 237,090.62

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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.