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Finding the Fourth Proportional to 238,207.80, 357,175.62 and 97,851

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Solution

The fourth proportional to 238,207.80, 357,175.62 and 97,851 is: 146,720.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,207.80 : 357,175.62 = 97,851 : x
  2. Step 2: Convert to fraction form
    238,207.80/357,175.62 = 97,851/x
  3. Step 3: Cross multiply
    238,207.80x = 357,175.62 × 97,851
  4. Step 4: Simplify right side
    238,207.80x = 34,949,991,592.62
  5. Step 5: Solve for x
    x = 34,949,991,592.62/238,207.80
  6. Step 6: Final answer
    x = 146,720.60

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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.